Chemistry-
General
Easy
Question
Which one is known as barytes
The correct answer is: ![B a S O subscript 4 end subscript](data:image/png;base64,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)
Related Questions to study
physics
The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun
The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun
physicsGeneral
Maths-
and ![a with not stretchy bar on top perpendicular b with not stretchy bar on top left parenthesis c with not stretchy bar on top comma a with not stretchy bar on top right parenthesis equals alpha comma left parenthesis c with not stretchy bar on top comma b with not stretchy bar on top right parenthesis equals beta comma t h e n space cos alpha plus cos space beta equals](data:image/png;base64,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)
For such questions, we should know about the dot product.
and ![a with not stretchy bar on top perpendicular b with not stretchy bar on top left parenthesis c with not stretchy bar on top comma a with not stretchy bar on top right parenthesis equals alpha comma left parenthesis c with not stretchy bar on top comma b with not stretchy bar on top right parenthesis equals beta comma t h e n space cos alpha plus cos space beta equals](data:image/png;base64,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)
Maths-General
For such questions, we should know about the dot product.
physics-
An ant goes from
to Q on a circular path in 20 second Radius OP=10 m. What is the average speed and average velocity of it ?
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)
An ant goes from
to Q on a circular path in 20 second Radius OP=10 m. What is the average speed and average velocity of it ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMMAAADQCAMAAACN4yWtAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAPf3787OzoSEjObe5qWlpUIZWq2c5nuc73ucxUJCQqWUlGtra97W1hlrWnMpWnMIWggQEEqt3qWtWkKtWqVrGaUZ70IZrUrvnEqtnKUplKXvGUIp3kLvGaWtGUKtGaUpGXNa7xBarXMZ7xAZrXvvnBBrGXPvWhBr3hDvWnOtWhCtWnMplHPvGRAp3hDvGXOtGRCtGXvv3t73xaXOWkrO3kJK3kLOWqVKlEqM3qWMWkKMWqVKGUrOnEqMnKUIlKXOGUII3kLOGaWMGUKMGaUIGXPOWhBK3hDOWnOMWhCMWnMIlHPOGRAI3hDOGXOMGRCMGebv72NSUkIZEBkQEEpaSqUpWoyUlKUIWrW9ta3v3u8ZEM4ZEMXFvWNaYwgICBkpKTo6Md73EHNzexAIWjEpMa2tte9aEO/OEO+UEM5aEM7OEM6UEAhKWu8ZMe9rpe8pY+8ppc5rpc4pY84ppc4ZMe9Kpe8IY+8Ipc5Kpc4IY84IpSEhGd73lO/Otd73QqVrzkJrjKUpzkIpjHNrzhBrjHMpzhApjHvOrRBKKXvO73NSpd73a+/OlKVKzkJKjKUIzkIIjHNKzhBKjHMIzhAIjHvOjBBKCHvOznNShHOllK1rWu/Oc+9r5u9ac+9aMe/OMe8p5u+t5u+UMe+Uc++ctRnv7xmt73NrKRnvrRmtrXMpKYxrWs7Oc85r5s5ac84p5s6t5s6Uc86ctRnO7xmM73NKKRnOrRmMrXMIKa1KWu/OUu9K5u9aUs5aMc7OMe8I5u+M5s6UMe+UUu+clBnvzhmtznNrCBnvjBmtjHMpCIxKWs7OUs5K5s5aUs4I5s6M5s6UUs6clBnOzhmMznNKCBnOjBmMjHMICBApWilKWkJrKa3vra3O763FlEJCEEIQMa2UvUJrCK3vjK3OzqVr76Xva0JjY0rv70Jr70Lva6VrpUJrrRAIMaVK76XvSkrvzkJrzkLvSqVrhEJKrXNzpc7OnM7W72tzUkJCY62tjN73/wgAEP/v/wAAAB51gmoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAATyklEQVR4Xu1dy5Lqug6NE+OJHQ/4NKeSojwAkko1X5G6H3rHTHvM2edC3SU5QKCBhjy6e1f12r2BhMSRZEmW/CL6xS9+8Ytf/OIXvxgE177/IDhnrXUuPjxDG66NovgnsGET7xOvTCrrRZrpqmoanWVahrNJe9UNJKuq1L49+Fp0xGa9qdNqn+8FI+fXfbnP1/yBjstslaZpnbi4vQe3hxJc1SjVvM344BvgrJJS1pUQc7Fev5PkdW28UUYab733MsXXRVqnDXFDrKTSKGWZ/MDORpgoUkJFBz78KjAF1m/q4o0py3WmvFpaB73uVE8LJhWKppTMGq6jvEnrzZENmW/x9X5x5OnLkJhaB03JG134p2XolvJPFfioUrMkPoxYRtFyjcr4QsRLmZZERV5ltUpm7iEDH4Qbu0WaBj7KDY636/Tg0nz3ZbXgoqVc0fMr6ZMEqtMTdqfqRuTkreI6rypRfdTB8cHP8GmGGmiKzPQ2wPhYM0m5z7jYeAO/0OiTx5oIxICF62/2TeqXuw8M9Hl8JjN9Fv5S9q/UzxEqQKZoiLT8qD49peeW3pcSHzr3T1kRcCYwgTQ49QvEr6gUruUSDvSm9MHn5It6K+XzcJEz2RwtgGpPHIZLCyXYSkUqP5Y5JYhcl8ILaU8SHFFkCcg388nbBEc0W5WJJjO7cGokhXWRJOrrORroyWEXlWgWwYzHNDhbUpiacfMwoSWjZKe0EFmQVRwUiTRq+DOdJofkymZqdxrvMoQTC/YkdNi+DwRcBAwB7YKLtnl2LHx0BGqtRCjwKHPpCZRuFctf5Ss+MwGCzhjE+3B/4wONg4ZBgxWzL9pzk8DCn5aGaxovY7ZCyJpTRElUrqTcZwJAPPhLtMhXXAnsX+nUCGiVX1ato5ZI3cYG7Iz7FqwpBfu+0cGykFX7oV6P/JBW1JA6O9TJnF5cmwLip4ClCM3D2EBsj0oQdXs4Og6oBWc0fXQy70TeIyFYrkJ4J6nsMQ05gEr1lY9cARn5rMrLsWsblYu2WJUiIy09JVvjIjTQvir+VIukScPJMQE51WiY26PxAalYxeqTSGMjvyd+RgRs7AB7E02IjkZX1ADVlbxZj8sDK46thYaneCk1ewmzqtuoKfAwrqxiatgK8ELFTmIL0NSL+EjmIzYPkDsITyqR4tNElUCVa5ELhhCeotZD0YzYPJDUnS9FyuKfqA6ontuevPY1G9u1bnLBwfxExkzFZpBRUteojJmsoUYFHjiOwFAKHmArsZoypwIk5T1F1cAKdFPlW9uMGA0QC2lZ422iSmBQAx3FSbQRiyRXs7c0KcHDcOujmqRSkmp/jILHqdwuOPlENXDbaWWFeGluoyozAs3DwMcdGYCSVvnILeZHmOBHl1nZLBe5jbReEA8jgKMitAtT5JwnUDWYEn6UFce+Z2a+i6rVIldDq+EEq8UKYUZ7NAXARI0GGm+2VlKku6aQc2VGauJQrKsnHr2gZ8i2NXNp06QOKcqbjGsKzQY+OdweS8F6OSkbRpPf5ke446vTsIoRgPIUkraxmprbgM+4lZzbqhwuNy7hkIp/hhf1CdTHLpg4chXi8OEhMlcDRRjTcrG42YuUvI3kz31T7cKYyHRs3NQkSI9da//HsvrjxSFsaY+mAUi01DF5DTxylOzhgCipkVNywFKub/Ztuyid09yCoU9H0gOVJKsaYYTtHlRFCfpH03XVGGMPaJ8rFNN2wkxkD7a8adCUWje7W7w9Db7VC+p2noj2ABdtAwsf69mW1WyQJrHsFyFxmwpctrmb5thqhI5KlVMoOSUcLO6OJiH33Q/v5EPyOVnH8An6/iOMGMgDanEh8t0gffwEpCg19W/f0Rg5QgaUiWK4Pj6GM9s7UsLZWlATN0CILlL76YaGW9lY8+AJcboemjvOCp4pMVVNUDdAzJp0D7MqX7Yf+yJlbZzQHKgv5pHb2zWhk69/I7fNJ548d4jcJgwC3MFyHZqHXmLknC04tgEN/UNQCxqvHrsdJR5p2hNAKgunMKkmGQrFHtS1EUOaaUi/puZtqlpg0n1F81YfgEnoDaTobwLmNmk1bKhj8tETUvFv+6kf2ClNatOqdUl3uMCz02Fdi7ak4fkpeeAubuCButbDeDBT9uvRFBWrw/DwPV3CeatDE9dXoVMyp743fwoULDOev/oITvcP/FH0rhxzKO8KRHqi2qk9D+Dzklad9PSNsRTplLYQ77RvU/QHSJpWkL1IcdXYk4Yu4TLObR7RBumrfe88mKwppxZ0CoAo/JnPHQaoGNDEkQTy4XnsI9Cg7UMwiyl1qfTzKyyB8UaQLkHEuXZK8iPQdacmrg8pMKaJVAmIkUE/NZbhsr4TvSGAeFis9Qg0lPA47znD8iTpnoMPrqJK7OmWrwGZ0JgUKwfDbc7GQPXRfhn+znBR0uZgxwkoBH69uO4ObEV+eTR78FnW7QSjwc8z2k7ta7LoZPJOrhWfwCetzXE+TJ5+CssRetfO8Pl/M6hmoDKOFGvSsQ+dKuL2mt0YmWjWasNW01KUunmne5+T7bgLPwwpJh4cKE0+zA5XpjA3bdzPa5wmTTIaXjbJ62X+rJ0i1MLzbgrndTiEXuv0bMTykgpIW5u6Sikuun4iNw9cUy7JF5FZ26ii6evPGOomdHKOZNNRNEt5CAPUHKLlv2dKIXo8QzW7aEvyvXweLivgHbl64mgHzVisd1F3pdxDmPnwTs4zYjxVCuqPhA1s3+CTLsnwRH/d4PyVOs24TyIYTgJ7MOsk0s8uI1DjTtY3RV1VYeW20/WluInAGqQ6svouc3RVBkPCKaiSU+vaLdeS6+ua15uoR+hs7iBJK7YHkJOEuYBdWmNka2gG0kszITrDFAFuHOomn9c0i+PprppCjDyJ+Ch6zzPEz2JsvZEvq4yWIpLWdZDkb2EsLo5mW177uwzrwZ+A0+PH3Uzt7HIM+kxPks1XH6nb5uV/budJF+p4E9ucF7GMDNCyrMN0mDOclzWF4TFPB+2ShgvVuvw8Xb0DnkE3Mg74Z2oQ2hGri2y2b8rq/Z/b/fNIhz9PV+8gHdscAJCi5tcNNKjU3tlKlDeTlTBy0ANwZNm4rrWF03l6YWZ4UsWrZKzcr09LBI9gOj4w/SxmJY+BjYXjZAufJjV1EeP4gJSAsoJYt9OgTR6GrC4qI876TzdJcp6SNhZaupYI6yKllt2iDylyHN4dQIZg5AJOz89R1otI8oJ98ohAYe0YdFrA1YAbZ8nbek4Q6OuaZ8JfKBRkyblRH0r8BOugQHtwnDPpl6BeVg2vd69Zh9BWO91c75vhB4yfbFv+xwTnPaAUH22R+TrXtRYSnjNtwAQRLylluXgqXCv47kfIZk33jgdQcVh0PIxdiTWcd3A7oVeYlYkvwcXhj76/CqFegF+3Ufs4IHoue8QUzyaKkpIy/qShtUUkdaoQDrSZA9Kz/k1tMnoXn7lcSVLnUtEQUNogIHfQKRAcn1bMnMQ3ZBxLcRY3Yk1sOYM+dxPRHIy68lHGPS+mzFMPC2kVJz64Q0xhFZpvbmp7EcKDJ2Ni0zb7TA2o4xjCb2QVqsdXYi9opIA48mmms0LrWmZi3r+p5T4+Km84OOI2HbXmYhWPkrkV7eZDJxJdZTWxs+SNsk54b7WrB4b4gxvw5YU4iXraNOOAdugY0zkOyWNJWx3lVZH9KbKszNvxwF4+EvYwkjEQDYcMhKI8IsUYeuPC8aJEXnvEGi2RO9qZQFMw4iifc4s8dFv3oqUmWxqJi0O8481buEBXNig5HIJwGi2TemM8fbeEFs2JpRP8PNRDL6Ds9tNgICLiOg3EoNUiB0oHdJK3OoDwKWn0H3eHMELD9faU5YJ4CL06AxDI3lVHlaf/Gu4H76HoeLXe0sPEir/Zs1WfAYYHZGLk+oZywADdqmtaCYRNUVGbUaTrBDbRyJ1S9fpjmzxoYLYeJxUlApQ5skBHRmSKRkXCfmIOKY5qGqTS/8IfwRVyP+AJLmv7rfv4pTANsL8IOuh2caPAdO8jldOGk0zXSpR5RtlECo8a6O1g1rQZUIev5zHOdhagOfQ/nuA0We+CsgKKwuNVuy+ExLssLrIHVMiu+ZBQvIBTd8LQulDsHE+ExLsE8of5MhP0dU1dLzgB3uy/1J3JTwzK4wfNJWSfN5R+3G8VBHnm4MiNao7lB0fUTnezq4KPA38xrF0PoGKk9sH9odC5jVa7hulzstbAEF5poISv8oZ7Y1v4fRYu6QUpVnR3bxm0SNtJ1kxJp8BDtJi3vWX8FY9B86dEZ2QC4Tp5jNp60aGo1RkM9UaqcUUAkYr/hl0/041sLqVPXBNuodrIZGj0bMu2FnuWgNuQC1AXd1eDLuDPfcHyomMpqUj6VEJnzQIX+BriIt++fNM1lpy6hc+3AGsPHMosbN3UwirFemarnGPBnkhoKf8QgH9ZHLsob+BCPrTZ1cWVhkOMXXPcz+5uZT6C0+H2AVXRNtA3S6CToIveiPYV7TdyAn12Cl52WQ6acA8eBtzOdNdkj3froSt3V1w6cgqZZmnlT5Ok3dInJFIchRNPAQ3nOcx5EeExG3+f/ivMaN3Vmbj2PqNLoS2Otpmp5UobBIrhm2dh5kM6+lzkq+frEZUepigdaQzRK20IgwP1pnfOWa+prXmJC8cdcP1Az+L9n54BSWqFYPwsMTgrqgpX58RD0oB2Ot5w1+srsG/cPvVETJ7m6TTwoPSx0k63OI+Er0rIvyY4i/P86TWkoq9vxl3uFIB+DiKvJD0JT+O7rMz2gvfM2+yDXeNF0U4ATxYaQDy8IMszUOHtLlxPw1XU60p3sra4RYmMqKhJ7CEJYCqU4AnHL8AMiJhW7Cuf0t4go3ZiBevMUkKLxPGnBY6ddSgM2cSL6m1E770UTJhc8kIVJu9EHt3gJO3Xr497X5/GRfFdkr9Kkc+5J7QHH3c2BbiJY12R5tLnhPZD/tNOb6ITq2M7RVu4gtEXBIMC+qzS5GcbGuDhwycAmsh1LnNYtfMr2pe9HcHmIlxBVITSeix9tc/PsTkDd6gnawFS7ggVSZdK56KR/nJj8A2n1GQoh1enLuC+XQNn8VLVMfxp155PcC6aNNbzTwu0+yEfQZdoGoEg9wjnlTxVcAcnc3oJM26gX2Gdxe5q1EF6yyUrCpoAx7r9qkzZNd8o9QFcVJBHDsHB52Dx0gf1Bl/ErXAYUeyI26W5TpxLsh57V8VQUerPeh5Ejb3q9X0E5hM3OV83jeYWrc3rTiKg7CferppMp0XozHlOOAy6dNnmcs9VBV+V0G5rD4GCT5f8jwnyen1tBx3QJU6ZF+ZHX0LNkefSE5/mIn1l2QtzYBeNyLNHMUTXjF8yaabdli8umJWvxOtEj0KD0Jgt7iI76BGcfYqX9kgBHQmvOXxMCCjHXzB6iu3yMIP6Nu9H8xiAw6mhfw439n+6Aig/dr+6palEZXag/hNKO90aYcbKS/BzNNUstoegvAt6cHv/pw7OxcQ7lc3FHFEFM/S46oYheadhiE+fEC7wb89k0MzHTlbIcI4bwE3JAR74z/MbhD6VQXNhCXGQvZgm9UeSP2sR7cb0D0FUW1nmoqlPY3TByqesikNBbfWnEsMFNms14yZONPoMkV1xuvRc8oRcyCeyOfKAyYe5qWecyfP0y1m8c+qXgcT7Bqv+rKrxdVi9ehe0SDp2i3ek+mkyochvgwa1Pn8o7Xv7AFwAbe+/5n3ZJ1X/a+BZtll/snUE8D8mjc3zDqxa5UKHn4D74npwNBuNpircG0kATWg7FzftGXccb6JOu/lxtPA+p1NBCorA78qO6KLVq1fg63GW6EUdzEUh1bmMu6WNDxbYcYrpPelRF/edyDAsPaQ6aGii9/eA5bWjUTFyK3zqCjgZNqa/+S3UTMGdNpyjfR8QZvpHc/BdtHrQCiYF6kC92Es6BZymDucPWtzSnYRfjrlU9pD+bU25z0/t90kZ7zE8KYxoAlHXjh3n7HG/mIBOqO6zXJQ++RaKr4BIwtK25Hdyqg8NdGDT2brMy84q12/H4sYKkYDbDbSV1XtluAqI8y9tl2+CFKbkwQiQckWxo2GCDoX0dbwz1XrdDiniu29nIMClgpbUXoJ4uzQGZmEnkehLroMrhr8ZaOhCH+QlWZ1t9dpsnX7eIi8GDM9PgkC1z68X5+F82BSgAyuLPP/n8xjxm7AQPMn/oh7avpjTOYM8OfT8/hQjuIRt9lf5F22T2YK+cEkt5jz9/15k9f0wQlDYFEDvqvW3fM5Ri1Z9WV9FT8Csjx3C/NaZextbpffzqu0v+ql8cNpfIggPBNJrjQYa7/ibwZuu6x8RVDwE2ajh1rol1bcr4mPrK7E+/9h+YOsnIpjpafIxWIBbpcrxqwYtmkd0TVweqf+RXikQaHnDFz6gxTHUHqxF0/YH/C2wmhbCkG0gtzyoohLV7e6AHwoOJpL5nFoJpWe04lPsvy9NHoCafhHFaeN8gRbt79KiI1wlGpsW8Kan2Tk/t1m+BVIcq4VuyrzR1ONFm028ANzxM3QPTIj95eYMfx+WYQX9Xwx41a2pe/mjn6FHQL03MudVwr3w/XyAAimKRa0FN9h/K3ihUJKfF1e8gJ+iTLxHXSTXr0wu+Wmow08m8X7TPfAjOE95AaNteuyT/GNqLkzyS/rMufwRoMRhxfUQrOJvhaSfX5/pFyY2/TA46t0QWurmx/blPYNVU8ta/p2JA8BWPPoPEH81ug3D39vGGTHKAvfvA0SvstXfzcMvfvE8ouj/ffUdSbcrTO4AAAAASUVORK5CYII=)
physics-General
physics-
The graph of position
time shown in the figure for a particle is not possible because ...
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO4AAADVCAMAAABnjTx+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////7+/snJyZqamsjIyP39/e/v76enp4aGhoyMjJubm97e3n19fQwMDHp6evv7++Li4l5eXiMjIxoaGg0NDYCAgODg4OTk5O3t7W1tbQAAAGlpafHx8bW1tZmZmWFhYRYWFkNDQ0tLS3BwcH9/f3Nzc9bW1mVlZUZGRkBAQBEREW5ubp6enp+fn6mpqc/Pz/z8/PX19XV1denp6eHh4d3d3QYGBhsbGyIiIhkZGVtbW9zc3PPz8/n5+djY2DExMXx8fNfX15OTk4eHh4KCghAQEEpKSmBgYJKSkvj4+MTExB0dHVdXV8bGxu7u7vb29jk5ORgYGLq6us7Ozrm5uRISEkJCQsPDw+fn59HR0cHBwSAgICgoKM3NzbGxsQEBAaysrL29vXt7e29vbx8fH0hISHJycpCQkObm5lRUVAICAiEhIURERCkpKQoKCt/f3+vr6yUlJZycnFlZWejo6MLCwpaWlo6OjsvLy2hoaF1dXWRkZI2Njfr6+qurqy0tLby8vHZ2durq6nd3d1FRUQUFBfT09PDw8GxsbAgICA4ODuzs7NLS0n5+fri4uMXFxdTU1ExMTA8PD2pqaj09PcrKygQEBE1NTePj49XV1bCwsOXl5Ts7O5eXl2JiYnFxcaamprS0tDAwMIqKijY2NisrK9ra2pGRkRQUFNPT06qqqjQ0NLe3tzIyMra2tq2trTU1NaWlpUFBQTo6OoGBga+vrwkJCff3919fX/Ly8lZWVmNjYxwcHNDQ0C4uLlJSUmdnZxcXF8fHxywsLD8/P9vb21VVVQMDA52dnQsLC4SEhCYmJiQkJIWFhSoqKkdHRycnJ6SkpNnZ2YmJiRMTE4ODg1hYWB4eHhUVFS8vL7Ozs6CgoKioqMzMzD4+PkVFRTg4OKKiooiIiJWVlZSUlE9PT5iYmL6+vlxcXKOjo2ZmZlpaWqGhobu7u2tra7+/v3R0dFNTU0lJSQcHBzMzM7Kysjw8PFBQUMDAwIuLi3l5eY+Pj3h4eE5OTjc3NwAAAJjcysgAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAHZklEQVR4Xu2dzXEjKxCAJw4OBMCdKqIgErIgGwIhCy4cqeJGAK9hRusnC8uyTA8tmW+f9UYurXZazcffoGFbLBaLxWKxWCwWi8XiIHAejsORaBcBLo+nZIiM2eNwJNorpQSLUmp9/IoEibF0HI5EZ855YsIYkyjFi5TdhkymGMES5w5DmCfQkF20cDetpbRMQLH2JMq0tAUz3IrkMVrBjI/HLyaSFWPMB/RP3pbCBM+zi3QWEK4o+XiKhpbBQ6E2c+N1HqIF3PEck2ytYsbGeQ5rz6BthNbipA+d703x8ex0dFEOauYT3N3RIUORxq0Z78G55tg18zUhpWTjGfL0seeGCyl2CupGOUlhCBejE3kHiJeVWV3L07MLcG/gX8Wtsuqn2enJnZ/dehoaupao+Q02a+79TYcCtc/8NaHGi5jfLAwvzNyEOyO7FZ2KsXjtPfSOVa+FneFuQ0uHWF9pDtVDJ4+zslvhySd+HA8HBvKdwCa5u+MKKxkpw/1wa2HGrCLvonNhCqWLJaP1Qt02dtPc3XGGFYx4g4k6qdu3nulupeV3fPGSWW7S3b7xVHcrGSu/3TmLqe42Wnke3+Ow3Q9xsrsVKM9lfIfDssJv8zjb3QrEO7o46+DptbsXuB89pROMYMx3szvZ3Uo2nVP7DW2KtZNHAu4CUgwe/8oC4frbHhsFd0E1Ozjedr2gM4FOwl0YHsH4d6BUlwn0mwEIDXeh9CXB0rDmyNYZbaFus0vDXUAnIYaNBkMOXsRA1d0KlOeRH7xVvbJCw92GE2bg4Nd2R5ZU3AWyEmVc7ZxUb4xAxl2w16mB4X6ZXSLuAlC9DIu3n11C7taTEcOWNJB3F9qPxDrzS89B3l1AetFtP57gBdxt8Q4a+r6Au4AVt9exnuIF3AVqaRtyPq/g7h7ucfg7XsLdLXsx5nxew13oSpohTdFruLvJMqaySt0qnpq7m7ZqyDTsl9PqpNxt8Y4Y5ufulQly7m5b7Fo3BnLuwimJhLbKjJy79br7yEnJa+i5uwU7clbjGoLubtIYzMJMzN1Nm/KH3K09jYi0woygu3WG/fZyxxgouruFNG7O6hqK7m6bU4jhHoeE4IjZJecuhIuVXZLuomaXoLto2aXpbhwyBuxA1V2kQRFNd51A+qYCTXedYAot3OOQEI6xMfORn6HpLmQXZ8hL1V287NJ0Fye7y10CLHfHQNbdUYsWriHqrkCaaqbp7h/rM3PEEdEa784mIoa75qpms+aqxkDT3TXPPAaK7sqYUG5eCVB0V5Y/dn0X8+o9OXd1wZmGBAi6q7NHu10KQXe5iX9pXZUdtT6/A0F37bivPt5A0N2IGC45d3W2acyXL3qQczcUj9UKAeTclcIcRxhQczdw1DsbU3M3FtT7z1Nz1zOksdAOLXe1TLc3OxwJLXeht4x791da7mbmjyMkSLmrecGslgFS7kaDNWlzgZC7knt0rwi56xT+mRByl59wJnTczdbjDesvkHFX+jPu4E/F3Zw83qD+AyLuhmTwSzJAw10oyVg3Lr6GhLsnlWSAgrsy4e+Zc0DA3XBWSQbmu3teSQZmu4s+oL9mtrtQkk9pgQ4mu5vtOe3thanuaulH3ivxAWa6G5NPp+Z2pruSK3Zae3thnrs12rN2MfvH9+5Km8bnP6e6qdjZuX3E3WyUcWFkHmTIVmEtFLvP9+7qnDlEPHCKMKpiXca8FPQlD7mro/fWxjii8DlrU2fXq5P43t0GtJCqVqS/vKQhZYD3cfN2p3243c081g3tflVr6WSM5Z3NKE7je3c/aBvaJf7c5uIB/l70qCsRHuAhdy9ImVjdAjxJXTl++y31tTIpocy03R0vPOjuhbZXMmPGeOMf3lsWRj3GQ00XZxbjnSf6zNqWChPcOZfzvRYlwCuca6+fVRdf8xN3L0ioYEPwtVy3og3FGt6i9xDbKxK8+vTuYp8fuXtFjgm6l23zbegQ1p/PD1G7BK3shL7il/zQ3RtcKapABuvP54dJu7De49fj3RBA3z7Il6af4Rl3X5jn3X1JfuvuizFzrmoCy913Zrn7zix335nl7jtTs7vcfVeWu+/MH8vucpcEbSJzPDTdDXbsxe46n9amwyG7Pof2h9BDrHsFp3o0JMf18uX+RQcIV+wTp/BI5qFu9F23C1ZDVtTlJJQXwoZWmEkzYiESpDRKK+p77Zc1qNGyWy/KlBFz1a31kZZFKNZ1+rv9R4nDXTitEe7u1bHDuinU75FQM4+74UAUzEsdsb9f+Av2i4qDkFEIY3x3c7F3REdjyOVW4y210lLOXiax87+TQP/y7mxkveh9NDU6qnFbK5NA1l7hR08xZ2gQ//UVa7hImyFMgu99iA+OvqJqKy5lVJdMvwd3OqzQxjqPeCejGdTswgjg309LLvwfsps37RnWBmKTqMuTcl10tOMKRFtcO4aqCp69V7ifgXyajwi5gWckGkcUdPiUT6fU5AWimLSyfDWczc69b3ad8f69Wp676LZK+HiyWCwWi8VisVgsFovFosu2/QeyBoRmqldIKgAAAABJRU5ErkJggg==)
The graph of position
time shown in the figure for a particle is not possible because ...
![](data:image/png;base64,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)
physics-General
physics-
Shape of the graph of position
time given in the figure for a body shows that
![](data:image/png;base64,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)
Shape of the graph of position
time given in the figure for a body shows that
![](data:image/png;base64,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)
physics-General
physics-
As shown in the figure particle P moves from A to
and particle Q moves from C to D. Displacements for P and Q are
and y respectively then
![](data:image/png;base64,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)
As shown in the figure particle P moves from A to
and particle Q moves from C to D. Displacements for P and Q are
and y respectively then
![](data:image/png;base64,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)
physics-General
physics
Kepler's second law regarding constancy of aerial velocity of a planet is consequences of the law of conservation of
Kepler's second law regarding constancy of aerial velocity of a planet is consequences of the law of conservation of
physicsGeneral
physics
The orbital speed of Jupiter is
The orbital speed of Jupiter is
physicsGeneral
physics
If the earth is at one-fourth of its present distance from the sun the duration of year will be
If the earth is at one-fourth of its present distance from the sun the duration of year will be
physicsGeneral
physics
The period of a satellite in a circular orbit of radius R is T. the period of another satellite in a circular orbit of radius 4R is
The period of a satellite in a circular orbit of radius R is T. the period of another satellite in a circular orbit of radius 4R is
physicsGeneral
physics-
Here is a cube made from twelve wire each of length
, An ant goes from
to
through path A-B-C-G. Calculate the displacement.
![](data:image/png;base64,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)
Here is a cube made from twelve wire each of length
, An ant goes from
to
through path A-B-C-G. Calculate the displacement.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUsAAAExCAYAAAD1DoA5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAJH2SURBVHhe7d0HuG1FmSb+3RP+E3p6RtuEIopECYIiGVFBRIIYMRFUBEyAEQVDq5jFSDCDDSgmQJIBBRMqIKIgIKKACijmtmemu2ectP/rV/e8h7rbk+69556zztn1Ps/aa+1atSp+9X5fhVXrr4YdBg0NDQ0NM+JfTZwbGhoaGmZAI8uGhoaGOaCRZUNDQ8Mc0MiyoaGhYQ5oZNnQ0NAwBzSybGhoaJgDGlkuEv785z+X43/+z/9Z/v+f//N/yplb4Pp//+//PbC6yxE/DQ3jjLSDtA2oV0Byj5//8T/+Rzmnna0JGlkuMBDg//2//3fwr//1vx78u3/37wb//t//+8E//dM/DS688MLBN7/5zcEvf/nLwaMe9ajBueeeO/jv//2/D2666aYiCP/1v/7Xwb/5N/9mIpSGhvFFiPGv/uqvypHrINfa2n/4D/+hXGtna4pGlgsMBAkhPhX6+c9/fnDkkUcOXvWqVxVB+M//+T+X8+9///vBH//4x8EnP/nJwTHHHDP42c9+Vp5paBhnxGpMG2JJ/r//9/+Ke3pm7v2v//W/ynVtga4JGlkuAuqKU6m6CnfcccfgN7/5zeB+97tfsSqf9KQnDTbbbLPBrrvuOrjnPe852HjjjQcbbLDBxFMNDeMLBgdSDDH+8z//8+Bf/at/VdqSeyHR/+//+//K+V/+5V9WsjxXF40sFxg0oIrNte44SxLucpe7TI6tZKwFdtppp8GLXvSiiX8NDeMLQ1jajyO9NO0G3DNcBYa23NfGkOZ8jPc3slxg1GQJugj/8A//UK5/+9vfFuLMWIsK1pX4m7/5m1Lh0aQNDeMKxoQ2c9ZZZw0+9rGPDT7wgQ+UcX3g/l/+y38p1zfccMPgiiuuKL2022+/fdLaXBM0slxgIEtAfEjz3/7bf1sI0QD0f/pP/2klDZjuBRi/jCZtaBhX/PVf//XgD3/4w+Atb3nL4NBDDx0cccQRg29961ulPWlDrEtt5atf/ergmc985mD//fcfvPa1r520ONcEjSwXGPU4CqjkX//610VjOoytIEXjmsgzGvFud7tbOTc0jDNCitqJXth//I//cbD11luXNsOy1K7ucY97DA466KDBNttsU9obgyMW55qgkeUigPV417vedfDf/tt/K5Ucrae7bQzTDDhhcJ0xzLrr3tAwrkB+iA8R6nkdffTRgy233HLi7mByqdB97nOfwe9+97ty/YhHPKJYnGuK1gIXASG+TOykUm+99dbBlVdeWUjzox/96ODrX//64I1vfOPgvPPOK5bmfCx/aGhYymBEaD8MDAS40UYbFYODUaF96IkZ1mJosDD5/cEPflD+rykaWS4CVHiIT7fCkiFdC5WssmlPs3m0pJk+le4Z3YyGhnHGn/70p/KyRlaLZA5A+8kQF4sTMsb/i1/8opzXFI0sFwGpYKDxECYtaYmQ7oX7Bx988GDbbbcdHHXUUYNddtml+I0wNDSMKwxfIcp//Md/LP/TvXZmbRriSi/Mf8aH9cl1m1tdNLJcBKg4lqKKVZlmxFmNT3va08p9mvPud797qfCMwRjfbGgYd6TNaBeI0yToNddcM7jsssvKWOaPf/zjQqSsyW984xulh/bIRz5y4uk1QyPLRUDGLDN5E2yxxRalK67SEaXrdL2NYzY0jDu0h7/9278tXW1dcuczzzxz8OpXv3pw3XXXDR772McO3vzmNw8uvfTSYmDc6173KhM88zFB2shygcGqzGAzi1IXXKW6toQoXW1u1pRxBxp1ProSDQ1LGSxK6yy1Fe3IENXb3/72wVvf+tbBgx70oGJhvuMd7yikaQLVix6XX375xNNrhkaWCwzWIrAcDUDrJhhbQYzXXnttcbdWrF4Xdv3115d786EdGxqWMhgMDIlNN920tJ8vfOELZUjLHgoMinXXXbeQqK66NZigO97GLJcgMuutgsHYijEWBPne97538Hd/93eDD33oQ4P3ve995VWuV77ylYMnPOEJRVsGuiIsUsirkmCsMwPe9cx51nFyq90J1+hQADdIOJBnMgNZx786oBCAoghYCkHikZYol3r2U9oSxijiH+q86q4lb7NB+LXf6coifpxH01OXqzTX4SWN3PNcnVbu9T1IGLVb/Qz5yT1+QTyJazQ/no0/cF3nU3gpc6ivxcNv/Tzkec+C+0lj3KB2B2lM+hK2o5Yx/t1jMDjbyhAe+MAHFjdhIEjw3I033lhWmbj3sIc9bH4MjS7ihkVAV7nDrosw/NznPjfsrMphV9EkfdiR6bDrapRrR6c9h52GHB566KHDTgiGnVCV53//+98POwEs1zkH+d8R6bATsnJdoyPnias70XVthh2hlGvxdMI6eXTCvVI4f/zjH8uZe57piHrSn7xNdQgXxJ98BJ7zPIgzyDMd+ZQzP3W6nBPnaF7rMIM8O90R/3X6Em7SEMTdM/IvDeDsee7OOYI6jtq9Ru1eX6c8pDXxua7Tkmvn2j3gH3Iv/6Gz2iauVkb9/EyIv8iq/0m/eEbzNfq/Ri0z9bO33nrr8D73uc/wrne96/Caa64pbuom+YHOmiztSHt67WtfO+G6ZvgrP0izYWHQVXqxKmtNZz/L+973vsXdAlrjlp1glO6EiR1d9A033HDwgAc8oPg3sG0msBOOyTFNmj/jObSuLd0MeHvec7RsJ3zF4rnlllsGW221VXmF0jpOabn55puLP3F6t9baTqIRC1i4Zug74S33pRf8z3CCmcmZ0DWcEpe8xQrQpfKsNy5Yf/LqLB38scTjd65gYYtHWEHynhcBZgJL3DAIi184nmHBm1hQf8JS1nX519fJR33tOeWZvKQsRq9T5uqTHHhOGFkyI966XurrUQjXIU55d67LklvqTrji8r+Ge/IVd37UTZA4uNXpqOUhZaM+6zj8h6Qpea7DZ5F6Ns+rG3K9xx57lDK7+OKLywROZCplZKxSG+DnlFNOKe+IrykaWS4wamHLtb0skQXhRQ41RhtDBC9n9xHZd7/73cEFF1xQ3gDyJpCxG6RBkK3dJDziMvZJkO2bKU4CLXxCiSy9TSQdGqf0Cd9zyELaCB+CRN4gLAJOSBEzQpE2h3AJsHPcPK+x6BpRDAbi11tvvcGxxx47OPzww8tYlDQI15gTUkbqwuemIQhDmNLmWhzO/tuBhj+zoMKVB2WgrOSrLsupwI94hSe9NVkrZ3kUvjQpE0QoP5QRN2XlWtkqJ9f3v//9y/OBcKWnRu1Wy0hQy0EIAaSXX8+qQ2lH5lG4SbsySBjy5r/zVBCm8IQrLfylDlOfgTATriPKM2mBpBfpK8/kLWTpvzD8F6+zsMRVu6dcTj311MFzn/vckocPf/jDZcMMfsgy/7/61a9Ke0CQwrF59tOf/vQS15qgkeUCgyCGECPUoyBwBJRgxE8t4DmrOuHZjgr5ECaNOeOYrmNleSZCTvCEG/Ij2IG43AP3PUPYIVZfgBjFn4bhrFFoVGkIaVz+S28aoGcTL3d5BmkWh/QCf+IVBv9pxO57xjmEIA5+nFnG0kRJ8GMDZf+Vx0xAst7N32uvvQY///nPSxlY0uWzH9LBapd+ykI+KRibNItnnXXWGfz0pz8tfryGZzwawe6www7Fgvf8+uuvX8J3lhZhJVzPewbBCle5s2oRL8sfGWy33XbFGpcXaVNW6tAhXPCc+9z0BpSFuKT3wQ9+cPHjv7JOj4HCdl86Q/zcIfUvrSEkZSx8dRFwy//IWlDLuniEMZXsB5EpCNmCNZWU6lVXXVXiOO6448o4P6hnaTLp8+IXv7jUH7ftt9++kOeaopHlIiICRwhVA8HX/QuRBfwRjBAEgeWGJD71qU+VpRMsxhq77bZb2W3dXn6sSM9rAOLwvK6MhhGriJATKFYdTc06JXTcTTBp/J/4xCcGV199dXkOIXOTbs9o/Bo8q0va5Emc8ufsv0OaRwkLWaRBSJ//GhSEuDUsROm+8FIeoFEJ1zP8IBOQdoc0IPVVhWeFK4/iChnIh3iSRuUp3zXUYybWouykOcQjj+oy9ejMn7iE61rePYdEkZm41VfuS4O0gDOCEUfdpNUVslQmwnv4wx9e4lZniFi4FIm6c58SyOoMz0kvEpZGYbH0lSW/3MipdPkvPwhYXpC9YQzP8yM+ii/KQhr9lwfpVvfSYSmQsktdgrTXwyenn376ZN6FZyZc/aRefMuKchOmISf5OOGEEyaeXn00slxgEB4VS+gJGeEehSohcAE/BDPQMDXQ97///YPXv/71RfgIHuHQBSHwH//4x8vrkwRYXDkHIacarBcESFBjsYjbWeMBwpeGfO9737uklV+CrpGJB6YSK24OhHvbbbcNnvjEJ5ZnWTeGDXyDyB6FrLsQkbwhZtaV9BseUDYan7Ro5MZwHfxJm/saoIarW6/x8cfSCLlMB+UqnJxBnAjemZvyQATGbtWLeuQu767Fqz7Us3KWF3Xm2rPIAwHw455wWHEpa2Xr/mhaQ4TKwdmzdTm7L93KVLqEA6NkjlDclx4QZ+2/hriUZ9JCZsTLzXPK29n/pEc6KDBukYcgsgMpO89xR4gWl7MKgXvIVHjSwH9tdY7KNQg/ckC2KJv5QCPLRUAEKtcalQomiK4J3yhoc37dIxwGtvfdd98iQITB7kQIyOJcxPOTn/xkUjN7JgI0KlwECvhJvPEjLeIkoBqbRk7AI7TAj/95Ng0+iHglv8lrGplr95LWNIQ0FP4RFcKDuIMy8Wydnzp/CAdx1XHPBuUhbaPxyLt78i08BIeg09jFi0DFHRL0vMPzeS6Wvm6k7jt/rHwWlYYtr543nksehEth6MorG919xKrcKCdpQo4QCzTlK33ClyZ+pIEf9YVAbZorTcZ5hSn9PorHglRWyvwhD3lIeV56pVN46tTh2ZRt6tlzylzaPCcuaVSn0k9+8vxU9WG7tS9+8YtlvDn54I+spA0oF3WrTtyPPPLvvnilkzs/IG/ytSZoZNkzREBA9zhaMWNL4PUur3RZS8aiO+mkkwZPfepTy1b7ziw+jabWwFNZkg3jCwQUwsq1A8lEgSIaB3fK0oEcETg5BffIFssaIfnvU87Gbskxf9/5zneKgjDRhext1mtNsXXEwgIkKt43velNxbKkZMQdIuwFusw19AydAE255gw++9nPDrfaaisKbthZkMOzzz67uFt7dvrppw87IRtusskmZY2lcLqGUO5Dfd3QQB7IWUeQRb4iY/6TnY6oyn9w3SnfyWt+agirI81hR6gryVmntCfX4pJJz3bW8/B1r3tdkeHOih52lmi57qzd4dvf/vbidxTSNtomFhpTrx1oWFTQ1NGmujNdPRVNe8kll5RvjmQyx0ygSRwwzmfMkWVAS6eLQltza2gYBSuRnJGXHFBfB7rB6Zmk+92RYvkP/pM5Y9tkLtDLSe/GmK9wjKcbNgIW6XOe85yyhIzlWu89WYcjrsW2MBtZ9hAZnzMuQ/gIou6MNWXGynRnOguz7HmZ8SqE2lmURaAJWQSb0EfIhNPQMBVCgECWAEFRtOQpbsAf0uPmvqMmTvLmf2QTKH3+zEq/8IUvLOOalkExALzaS9lT7ibtkKbnMwEFdfiLhUaWPUOsQJM1eXPEDLeZ4q7LXcYwTeI85SlPWWkA29iP8UsD90gWDPBHsPltaEBwOaYC98hMLEzkN0qk/nPPJBb/QZ6n6I1jAgPg+OOPH7zkJS8p/8mxlygsZYIsXTI54/C8c9AH+W1k2TMQQJM5BsRN0NDOZkINiBMgb7pkyQ1NTHhpYMJo1pTlSXihntCptXxDA4Q0c8CoBYf4HPGD0GpL09kzyMyRrrOZazADbZMUa4F9kpZy1x2/6KKLCmEyDsivVxP5ZWFmCCByDKPDAouBRpY9A0I0681SdBx22GFlVhwxmvU2U4hEaW3EigTT9fZa4+67715eBYNYne7FMmgYb4T8ctRAfNyQnyOECCFF1h7iyrMJx31kSX79J6+63pYivec97ylE6VmLyM8444wiv1mtQX6tm2WFWvSeeBMnRJYXFV2CGnqG3/72t8Of/vSnw86CJDXDe9zjHsMTTzyxzAaacYSuiz05W2l2Meg0ejm7D/kP8d/QMIqOlFaaxR79X4McdRbhtLPTkccLL7xwuNNOOw078ixy/LSnPa3MlnckWu53ir6czZgfcMABxc9pp51W3ALyO108C41mWS4w0j2B+rruJnvX2/d4zj333MGjH/3oMlb5vOc9r1iSXZ0VPwbIaXEwTsl6pIW5sUizAJeW13WC+G9oGEUsxGD0fw3d5oxlRh7BgnqyRh591sHbZXYpN5b+rne9q2xowaI0Fu+5zJKbMfes8BxAhoE1mnjI92KitZ4Fhu6ECRgV7xphEjBCpBtz8sknl91SvBJo49+PfOQjZRBctyZdbiA8CDJjPoQXGRrnIWDCcp+7Z8H/hoY1AXklq0COEaruMzmkwMma/Qqe/exnl7eQbAXoXW7Kfib5y0QRua0JuMZ07guFRpaLAISH2AgYrUnAfvSjH5UlFT59i+BM6Ngd3RgPMgRCGu1KSIXBbwbCCSPBdY6Wrq3JRpYNa4rIE0swqzX0Ysigt3MsDXr+859f3sO3N4HxSl9XZG1GTmGU+JCkYyZMZ+kuFBpZLjAMakdonB12SLGBBCvSu7h298kSCwKETBGm6xBniJAAIUzCp7vuNch8oMk9z7BcnXsxSN6wpBFZjNLObkBmvF/3utcVuSWX1gDbtcrWgXo6eVWyRnpH5FO7YDyQ0RgCNaZyW3B0CW5YRHzyk58sn5VQFQcddNDwpptumrhz5+cboBOo8rqZI+iEtpw7Ihz+8pe/HHbd9WEnUMPjjz9+0t+f//znMpDeCWX539CwpuiIspy7bng5v+1tbxvuueeeRYbvdre7DTuFXeTNJBBETsliQGaFQ65N4uyxxx7l+fPPP3/yPggn14uNZlkuEnSXdbMPOeSQojWtQ3vnO99ZtkijZcHuM65pchao7jstHaRbTePSyN5+oPFjsQJLwHNdXZf/DQ1rAtZfYIzygx/84ODEE08cfOUrXynd8Xe/+92DY445pvR89HhYlGTTeDtZrEHuySn36SzKPqGR5QKDsBnPsReld7t1j03qELDsMIQEQ24ELpM6BI4whSTrbjVBdRgbMvvouYAQQp5raFhdkD8y6+0wuwnpehur9FKEHYOe9axnTcquGW3yaL1lLaujIJ8hygwzpZvPLfK72GhkucCgST/zmc+URboEw5IKy4SAgCC0LK1wP9qYhs4sJGGFEKI3d/glWPxF4BCz8SDgtybQhobVQSxGZ+PsiJBM77fffoMjjzyy+AnR6QVR8IiU//SYakTmySq5HiXLEKn2ELfFQiPLtQACBDRutCxhcG3QW7cFLBF60YteNKl13Q+hIb5YlEBDAz/piguToPlcBEHMujWD7dwJ8WILWMPSQxQs1Ao3StoQkpUbNph238fAItNQDxVFwUPk0zMIkOVJzu19YFadm2fFFyOhXou82GhkOc9AWoiNYHnPlQAQLsRlfAc5IjNLhCyrcN8yDHA9G5BfhFaYyDUa2StjXpW0A3dIt7YmG3E2zAYyEqIiy2TMf8TGOrT+lxVp5YX/5Pi0004r73vrms8FngsxAutTjyjWYy2nyLQvaGQ5zyBYhIH2RJLAysv7sd6VtdjceKWt8yHkOhfBEDZ/hBdCnqxLWtwmHPX4UE2WhLKhYSaQpShvlmCIixz5vr29Cb797W8XOTfu/vKXv3zS+kOYs0F42kPgv70PGBBAviE9srkYEAuFRpbzDEKFKDO7x+KzFRWhonmN61gLSbCQqS47f7EW54LaP8ETJ8EmYLruIWFx69KEJM1eNjTMBJZk3XWOrPlkCdn13R6yZqzdWkp7q5L1GAazobYagfzqgud5cSPikGRIExbbymxkOc8gDCqYgBnYNtNtINzXCY3zWFqB3FiGZq8jFARkLoSZ8aOM/3iOECHdTO7ojksH4sz9hoa5gAyRF68yRpF7z9u3uX0eGSxxM+tdj4mT5VikM4Hsk8mAJSkM8ZjYdNTyWpPlYqO1onmGilbxBIcm1uW2XnLvvfcug+DRmqxPCOnpyqQLMhMiXECQIkyI8TGPecxggw02KOHXxJtueZ5raJgOlDGZQlqUvd7QqaeeWj5ZQraNuVP65BhZcrNRNaxqz0U8no/cC89RgyxDL0izS0TDPOIPf/hDOeeNBIetqTpLsrh32rqcwRsQHWmW645cy3ku6LrV5dxZkSt9OOrGG28sW7sFnZVQ3o7gpyPKCdeGhpnREWY5k8/nP//5w06hDzfddNPh05/+9OIe+atl9te//vXE1cxI2J0yn9w+8LzzzivtpCPo4Te/+c3iFrnuuukrnRcTzbKcZ5hoMZbzve99r/z3PWibC+h+AI1tSRHLjyZm7bEyTfJk0mY26GoDi1G4rFLhdQJdLEvXDhrbjGO6/RmIb2iYCaw5b4O94Q1vGHzoQx8q1p8xd7sJkdf0hliBuu3ghYq5yG8sxdqiFB4ZFTYZFU56QfHTcVU5LypWcGbDXEEjQrRrjV/96lfDfffdd9h1iYum7LrFw6uvvnri7sob8a4uWJOjqK1LFmSsWGmt/bvXMN4YlQG9jyBW3+233z489NBDiwx3JDbslH25Nx/ykziAtfgv//Ivw1NOOaXEdb/73W943XXXTdy9E5FvfhcTzbJcRdCIEA3ZVX5ZVMuSfMITnlAWnbMUjVf6GuMWW2wxOSlTL9ZdXbAmad1odOjqsRwG5YFVyY+0ZrzS/aSjYXxBbr3xBeTE7LOeDrAUjU0+/vGPH3zsYx8r63Vf8IIXlA2o3SPXa4pYipFPY+0mh8A4Pxl2JqvSB+mV8buowJgNc0cstX/8x38sZ/j5z38+3GabbYp2dLz1rW9d6T5tuipjknOBMIHWncrKZV06Yg3U1mfD+MI4JEQefve735WzsfSrrrpq+IhHPKJ8BuJv/uZvhuecc065N1VvZnWRnlnOIB7t5l73uldpSzXIL4syVuhiolmWqwiWmjFDM4U0bddlGTz0oQ+dnBG0e5DP1rpvCQ/QytGS84XMGnZ1OGk9SotNOoAGd69Zkw01IiusNetv73GPe5S1jnYNsrv5N7/5zTJ+7pMmT3rSk8pseJ7hf03BooT00MinJUpg3DOWZ8AS1iPjvtiWZSPL1UC6Bd///vdLl0VlEySb91oqZICaENj9J0Ce8wGk60DYBA9pEjxb+Puq41ve8pZC0oSLkNVr2uajG9WwtEFeLAKnSHXBycprXvOawUtf+tLB9ddfP3jUox41uPLKK4sB4HVHL0/oGvO/tsiKHCNFslrLayDuXqBLSMMqIEsYOgtyeN/73nfYad3hIx/5yOFZZ51V3NO9GF3qkEmXNUW637on4nCGdGXuf//7D3/xi18UN0i8rRveALUcWOa29957F7npSHR42GGHleGjTPqQ5UxKzpf8BpFj+PSnP13SsMkmm0x+lbSGYSbprp9ZDDTLchVBCx577LGD973vfYNf/vKXRet59Wvfffct92ltYNnVr4CxNucD9QSTOGh/Yfuvu+SaRSmdoItVnxvGG+QFyIlv5XzpS18qcuQ9b2/m6IKzOHW/9WDIEstyPrrggTbjCMQDZFu80iadkeEsLcrQ02KhkeUq4vjjjy+bYnj5/373u1/ZVGCbbbYpXRRdY7v+mG1ETmb5dH25W1M5H4RFsIUZASPYhMj6NAeyNpvogKyJmy+ybljasM6XHHoN96KLLipu1gE/5znPKfJKvpCj7je5Irue8b8muNWFMNLlBqQYo0Ic3nZD0OS2HtdEnJH5xcLYk6VKqMkHVA4gH1DBNCsL0qcg+H/gAx9Ylldsu+22pfK5ZUzHwvSMaxK4uMdtTSFMQp1xS0LlTMBYBtJDwANpM2Yaq6Jh+aKu4yjIyDY5AEvajj766LL8zAfGDj/88EklDLXs1OOU5GpNoW3VpKs3pL2InxyL2/36IO/iDnkuFsaWLFNhKiDkExAu5JNZQBVl6zMfjWex+Y63Losv1wmHkAljIYDAY6ESZOmX3t///veloUgPgUyjcS+NJVZmw/KFOo58sNB0a8k2GSC71v+aiASfqD3ssMOKlUdeFkKGGQxpX+DMEOG22GQ4G8aSLEOUo1BhtC0Scp3Fuxaab7755kWgbIhhB5bHPvaxRRhZdxGy+ehmzwYELv11XLEuHbmOFauhxPJtWP5Q/xR7wFLTzUVIT3nKU8rY5LXXXjt44hOfWLYK9NIE2UCy07WL+QR5rA0TsqrbD3pFfcbYkSWBQB4O17WGc6gwZ9aZ7oGxHMRoDdiOO+44+MAHPjDYY489yjMqOd0UzyDYhQAirAkwcTtbxpRJnsA1cl2o9DUsHpBPPnxHvvVEyMqTn/zkwWWXXVaIivxS+PYtAHIDCzWuLT3SCeLOeuRGlj1DTRix0FSYyouFyA/SMZbz93//92W9pC7L+eefP1h//fWLH2SKKFU8EMqaoNYWxCPdhD7Wo/SHOFkI/vPDLfllkdYavWH5g2ya8KPsr7vuuiI7e+65Z7EuH/KQh0ySI7nlL8NOaxtpc6AdmSyFtKW+YuzIMpUEKgeBRMsFl19+eemmnHLKKYVAfWfE7itIMwLGPWSFkHK9tlGnN8KFtLfbbrvSKLJ7tXsODQT6LogN8wPDSOlFWBbEirTI3PvfO++8c1n2tskmmxS/UaoLCXGS38ijdrNkhoi6whordII0cbXy+6muLdLtBGu42WabkaBydN2VyWc6oiznrsLL0VXySu/NdsQ0cbV2Uae708wTV8PhtddeO7zhhhsm/q1A0pxzw/JG5NFOQeS3U+pl56BnPvOZw5tvvrncq+WnlguLvxcK2k/w3Oc+t+zU1Rkok21rumMxMXaWZbqiXcGv1CU3/njHHXcMHve4xw1uvPHGst7rGc94xuCYY44pz9DYWRtmUodmpBXrrvdUr2qtDUiL9INzNPODHvSgslMMZNBcmrp6Xjrau2GNoCttPPK9731v6f2o94MOOqjsR7nhhhsWP5EFkz7kI72lhVwtIc6kQzq1MenpM5YdWRoDgZoMXcc9C2CzcDy4+OKLB/vss08ZP0Euxiuto7To2yx4PfhcC1XdvV2orq4ZTl0Z+ULWhE3+avLPejVu0iUf6ZI3TI+6DKEeX4PIDLdafmq4FwLKywGj4c4F6k9YOfzPkXChlvk3velNZZb7F7/4RXkRwksUxt232mqrlcYogUzAQoy115Be5Bgyz7I3MktWZzoWE8uOLGPdEZwaBAy8pWBnHrutsAwtszCO03VTyr6ULMq3vvWtxaKkpVVmyDFrFxcbyYvGmgYg37GaQf4JF7c0asLZMDNGx6/JCDdkp/79hyir1AXwoz6Uewgo36VRD7H254KEO0oUuU64FKD/NlLZbbfdClGCa8reK41kWG9ooUlxOkhvylmZsShHy7KP+Ksugf1O4WpAwauEmhxkMwLnmgDRcAceeGD5VC2YGLEDi25L1lqGgAhblgktJqQb+SUtSSNLw7eXEft973vfUgYRSPlcqCGC5YK6/AAp6ZWw2ADxKHuLvtWHN6TS+6CI1U++eGjY5N73vne5Nxumao6RWxCn+hS++hauT0BY/2vjXs/bCctXRB/wgAdM5kHas8nuYqNuV8pH2r/zne+ULeHOOeec4t5LdIW77NAJ08TVioHk+n9w2WWXDXfYYYdhRyKkc7jXXnsNv/KVr0zcXbGFvQ1Rg07YJq4WH/WkUkeeJX9d4xhut912wzPOOGOlnWVcd425XCuLhrmha9ArlZfJu9/85jcrTf7d9a53nZSf+uiIdPiSl7ykfJ4hEN5cwN9o3NNBmk499dThuuuuW+LtjIPhwQcfvNJETS3HnWVbzouJ0Xz9wz/8w2SZdmQ54dpPLEuyDDkAQanJBel96lOfGq633nqlgjrNO9x+++2Hf/zjH8t9AhgQ2pp4piLdxYAGUIMAmu2Un85SXum7KrXfOi8Ns6MmONdI6CMf+Uj5CiGSfMtb3jLsur/D66+/fnjNNdcUBfzKV76y1ENnZZYvIl544YVF/shkXS/TIWQ5CnXMPbJMFt/2trcVYhbfPe95z+Fxxx03vO2228p9+HM10123gcXEaN6QZch+//33n3DtJ5YdWRKqmtRqskCUJ598cqkYR9ctKZ+DYDGkEgl0/cx014sFjW4q0j7ooIOKpbPTTjtNm+ZGlrOjbsyua8ULXZd32HV9yz6m55577oTrCr/2YlTer3/968vnY8mY3ssoQcyEqSxKbtKh/hCg8z777DMpx/e5z32KAVDX76233jpxNRz+/ve/L+faEFgsjJaFNvm3f/u3JR/51G5fsfJo9jJBVyETV3fummLvyQ9+8IODF7/4xWUcxwJzu0GbBb/Xve5VnumErcwQduUyOZlTj1PW14sFYz0ZizWZYNJA3q6++uoyfmZGUTqNsUEG9TuCnZycaJge9fggORiFcjX+R1bIUUdkk9fGBJX9y172sjL+pi6++93vDj7+8Y+XupkL6vgD6RAPGTX2bDLyi1/8YrlnqZi9VZ/61KdO1i9/tg+Urs6iLNsGwlRhLzakuVMERab7Lp/LjiwJRAaPgZAZYP/c5z5Xvo1DkLjZrPeSSy4pA/MagMoiXO6ZJHHUjWWqhrMYiCIgYIRLgzSDL30arMkdCFly8wyybJgdo4Si/AJl6L1rEzlkLARWkxQZUieHHnpokS17NJ500kmTy3RWF+rXYR3w2WefXdzWW2+9ssWaDTKkU9w1QkB9kV0YLV/lKH3SWbfbPmKtkOVUSyQQ1nyAppwJBDaWl2tC9NGPfrR8GyewYNdBuFRQvUSobhx1xfZFK8sTRLiy3s6mHxqvTQk0ag0WWEGe0cDdb5g7lG9d76w6KydYicqYnNXyotFH9uwlYPlZ/Hp2VRBlB9JgeY1P0vqgWEjRK7k+vwzaReKuSYdb8rCqaVgbkJaQt56RGXzLoKTfSyF9xlohyzRUBJnGvKaaNUhXWIETGoKIDBBByA8IG7dPfepT5Y2GkIxFu4SM1q+Fqk/adyYQePnM2w4ELZawhqHsNeAMI/CfRrJU8thn/PSnP5206nW7NX6NHmJhZhcd3V9KyqYsP/7xj4vbbFCvkWkgx16geOELXzj40Y9+NGmI2A3r1a9+dRlOIufaxVJQhvIV8nZNmViUri1utNFGxb2vmHeyVGEqOw2zJrc08DVFiBEpIAIF7TqaFVhU1mzZEZp/An7iiScOnve855X1lFBr7wj6UoB8ynPK2Ho7DVQe3HNGnlDvJNPIcs1hmz6Knzx5iQFR1uPCkPWWNqxgMHgr7POf/3xxmw1RbuJIO3rBC15QxigRC3L0EoUhJWPtQPalp7Zy+wpyG1Ino/LjjDijdPqKeS9dFaax0h6EJiSk0ufDuhROBGMqy9A9Qsai9B1kpj0Tn3VJO+uuArdo76WEpDkk6P+tt95adpWRJ5Z8FAnkrFyWkkLoK2x1RukjSEqXMTDazQ15XnXVVeWsjrSFuRgLUfgUuYk7vSBjlOrW9oA+a2LHflYYIg7BJA1LAcojhGkBf3ghCr6vmHeyrBsqqGRCUhPbmoBQxHoKkKND3NzPOuus8k5sBMkguAH3WKCIVRh5ZQyQyVIgz1HtK08azg477FC64CYg0gWPAoG6ThpWHylT51zXcsMN0V1zzTXltVnDPd6kefrTnz4nQhMWWWSN7rfffoMvf/nLZdKObJuQZADUFqww3asttj5DGsli5BHhG1rQHn2NoM+Y9xaUCtNgNWyaN5qj7vauCSJ0ITganTZX4LT5K17xivLON02lK67LYilF4PmabEPw80XoaxOxPCDEaWzMrjK+2Of1TQ0U5CuQv6XQmPoODZpcIazbb7+9NPaUq/ImW+TdXpIsfuOVvtVkVnwulhMZZFyQ4dtuu624ZdJu3XXXLf+1qdQt2Y9MLAWFmHaWMlMm2qL86B31GfNeuumC6Ca6Nnhr81HjavX42eoihUyDI8qa4BS297p1RRGpsR3r3YyL+B8Bc66tglHy7DNqskzDAp8IsPHvTjvtVP5DuoVB8t+w+rj00kuLIaBXYkySdRfLMnVjbPHCCy8sXUxtYP/995/8ntNsIJe62sYoETHYhJqMCgv5isdRk4se3FKC9giUSJQ75dJnzDtZRnBULgHRFfE1RAIwnxB+DQV9xRVXDH7yk58UITvggAPKEYKQrppoQpYQwq3d+gwNRlrlhxWTdGswlElNioQy3fIosobVh3FD8pJhH2AEKHeKy9mWaHbbZxEaJ7f1X8bKZ4Mx9tNPP32yq637TuFT5twQS1aYmOARX3pwSwHJF9mVdl3wuBmu6DPmnSyTcYJkDM3nGLixLHNPA3bkP8xVM6arQWA0/mgoREmogpe+9KVFsFWKtBDoCDe3hEPwQ7yjBNxHGMrQYJRXrZiUZfLlDNw0Ml2d0bHOhulBpkaHjKKQfLpDGStP5Rx/vmFDcTn71GyWz+W78upKuKmzuvtex/XVr361tBVhe84uWK49F2VXj7VLy1JSguntaIvyzzLXlpG9FSx9xryTpUzTFgqFdlXJBM3iU26uNWCH/xEYFZ7rmaCLAwRGIQvne9/7Xll0HmIwCG7XcHELM8To/lJHbQXXjU9ZjuYvggnNqpwblKlyzJARaxGxUTwOk4dRqtY9xp9x4+uvv37w9re/vfRutAFE6dtIEKXsHHIgl4gydfOZz3xmcMQRRxRypAzJsSEk9ei5GAZLGVEMyRMkv2b/+4y1YlnSFuCzsbHmNG6klsYdRAAIjmdngzEOoNkRpmd09Q2GK3RdTl+wI4DiFK5K4T9CvpQhT6CRyqP86ZZDxriUScrZebTMG2YHJYvUWIvkWVlT+F/5ylcm5fTTn/50sYZ0t0844YTBXnvtVXpSgbdrNt5440mCiHWv7kIU2ge5FDaiDTGD3hGyTJ3PxZjoO2rClx9lUyv1PmPeyVLGQ5C0Rd5yQGbGbQiJyo8AOMd/BGg2GAuNFUVgLa9AoqyABz7wgYMHP/jBJdza0op1udSRfKSslG0skygp+Y5Q1mXduuKzI2WlXNPdJVc2YbHS4Bvf+Ea5xzI0icOK1G2msC1S51fdGH/bdNNNCyGE/PR6/KfUuTnEYeWGzTauvfbaybFNs+F6RxCSXA4yXI+tUuIZjqBAtt5664k7/cRa3Snd2w52XVEQNAhBe8QjHlHusQCzlIKAZXnRbJBcz/LvjRzWK62s4AmptWjey0UMSMQZecyViJcKZstXyqNGyqRhbkBmiA056lZb+2hH729961uDJz/5ycUPsrMCQRfc5EwmXZS9Xa0CYZFd5a8tuC9sVql9CuxfIA6Gw+677142fjE2bQzURinLDeQT+dvl3TfMlZlhCGPCvQWynE/4nCzYGLUjyfKJS9F0Vs9wiy22KHtHQmd1ljN0QjJxNXecc845w04wS9iOjjyHb3rTmyburthUFDohndz/sRPEcl7K6ISq7AnoHHTd8OG73vWushmsjWgh/iDnTsmUc8P06Lref7HnYmelT7p1RFfOnYIvZ3A//zuFVPZEJd/kLs+lvuqwOyU/PPzww0s7iRzvtttuZUNhqOs47Wo5oC4X8topjpL3zpgqbn3FvJMlXHDBBSXze++99/C0004rwoAsuXXd5uJHYUUYImi1IE0HhNdp9+GGG25Ywuu6/WUz1ne+852FDITxpz/9afIzELXALQeykP+6nDROG9LayLizVIYnnXTSZJ7TsJPv/G+YHcqKEkd8yDCI4v3tb39bzsBNveRe4L+6EJYzAkXGQJkjSjLs6HpZw3333XfYdevL/VFyjPJfDqjL03f6ya0yuPjiiydc+4m1MgjSWTllDNFMoEXivr9tbEJ3XBfGWCYTvBOi4j9jixlnmwl2b7H2jPlujK4TyMFxxx1XNszIDKNx0ix0FVeXz3Kt27PUoazkJ2XlLK8mGnThdAeVCYx2w1sXfHZ0iqiclZUutuGelKNyJUPK3MSL/4aEuJE75zzvnu67gww6G8/PmN2ZZ55ZDhCX8UmTQ9l8I2OXuuGgPZlwWg5IeRoWUn6Z4OkUSjn3FatMljIYaLSjGbzhhhvKNlZZOuF8yCGHFKFDjueee24JI8snQCOHFJpw63gIW/CiF71oUoCEZ8FvxjlG0yKcCCxkgDwCDZ5J/FPlB7g7wLP85H8QPwkrkI9aCdT5CoSZ8HKfG0EK5DXp5h7SNO5rhhYoI2WYPEQolXOWXNUQlyPxJ3znuhyStgARhJCB3zpf/I8+A54ZVYj1f/dTflPVgzjqcKeKZ6rnagg/+QyEkeciI/6PplV5co9yD/l5nowJN2XuHn/CyESR++I3Rmm/gtSv3c67Htjkxs2ZqIN6vDLhLHXUdZy10MoqZddXrDJZ1tYJAZFxwpLXuUy2eMXRbKBX8GhE79CaxCFAhNEMYl3xCkvBRWARQ+IJqVoeYymFSSJheR5RuH/jjTeWMM8///zyqdIvfOELZat9Fq6Bcp9c8K1ws40GkU0CWfz72c9+tuzoYicZYXA3SC980Hj996yBeI1VhaZB1Q01pCwvNeQjjUu4/ntOQ4llHSFJvtPo5E8a+EeEzspbOfITJXDeeeeVeD3P4okSkt6QmkXSnq0tbXE5xJX0q4M6XyAuYUXIxZ80OJSH/yEXVm7iBf89z4+yUA4pY/9T7+6n/PK8e/ErrZGTpNNZvA5p4eZaWp3jzz3/hS+9Sbv7kDpNmfovbSmLxJP7kHspO+Uo3eQ/Cr7On7jJkc9OqCfwjMkdqzhq5bhcEXkBZaZtql9l6+gzVms2nCASApl1TQhYkBrkG97whrJejCXpQ++E5oc//GFZVkFj8ov0bJkm6ghfCkpBOkISGog4fAfZM/GnmxKCtuSAP++gb7nllsVdA43AIh3CKS7El7Wasbbs1CNOxGjDDQuM5QX5EG5CjJxpeWkh/GmEaVTyRfCt8UTYLGzPyjPtKQ4kZt0d4s/aSOWUPIpP2qRD/NJrBnaDDTYoM4YIxw5D/MkHC1t5eMtDeRE6H9WPJR+CkH8Lfikt4UqTQ7wOaZcfYUhjPp0A3j+2tEV43MWRLqJraRQ+SJf/wgzUQU3euSe+NBqIUkyZSnf81mGsKZSzNIoj8YszZSVdSNs91/yq1xr8p/7dr48autPclB0YQtI2zjjjjPJfGfvkhMXnZDFyuZwRvsjZZtxvfOMbS9l//etfLytZ+orVIkuNikCBTCILsKziUY96VGkUhDtkReg1UhoXdt5557JuDbFFyJIMz7KiarJEOkcddVSxBBFWuuE1pMczEfJA2MJwlp5UFGgEDvEBwgd+uYtfIwq4Q11k3NLwHNIPsaK48Y9IhMV//fwokn7jkMJImUmjMEYhPw6ELmzEpYwQY+ISprBcJ31RdtzVlf/uy7d9Gu1wI76bbrqplL+GTJEoS+Rtkwjl6PAcUqUkbBXHr3ClSb1vscUWJQ0UiP+6m3vssUdJh12hxLnhhhsW6z6WscM3ZtSZXkPkwT4Dzil3zzoH3IGfGvnP/1yRvOWZmsBDpKBe85+iplRAWXtW2doYA1EaswfhWPr23Oc+tyh29Z3wljNCkspLvTGcLP/zX88uSwv7iNUiS8JBCAiDDKtkAmGjUtqB1aTRGLO8973vXSYdNBx7/FmcrsEcfvjhRatoFCk4IJCu858gseos+n3d615X3EDj4i75GlMWvKsM6RGuBsYyk14NmBvS+dnPflbi1KBjTQSjbsIUR+0niHDXRZiGVZMsyE8dRhoRd37TMKeCNInLMyHF+BWGA7ElDuUbS9/Z8wmfX5DHqZD0J22ei986D6NpcI8/7nXe/UcMnlMfYC2iBdssUxuguOd5cuNZhM8aM5QjzNQXP9ySBvFqeM5JD//y4OBPeM5xQ0r8S4v4nMmR3oSzXpB4+JUGaUV+7onD+HjyoVz59T9yl4kfzwP5ZVF6TTK7pVNGvjJq3NIz42JVgvpRT+oNDEkYw1WWhsTs4dlXrDJZIkgZJSSuNQQCqeu41VZbFeH45Cc/WWbA6+6Ta91DY4YExBiN8URnz0e4gHATuFh8BNHmvd5yEJ+Zb5/+ZN1IB21uBtw9FhXLysEisiieMLKGEKyw+WGx6fohE27ypCJjDQjXfyQkfuAurWlMaaDc+BXOaOPR8LlpmNKpPBKebphGCO5Lp//yJVzhabDyocFJK6WgseviyS+/LG5I+lhulIQ0gWeEK88IyvOQ+zWkVbzTQbki7KmsXOGKP0pJGmticS0/nuUPlI/wpoI6SVlNh8hNwpsJqa8QbHo+8iwdKVdhzbVZeGaqcqyhnsQhPkqCJWWPS+WR4Q5lIA3jAOWl3NStXd/f9ra3lTpBlr5e2VesMlmGAD3mCDnYgu3Nb35zuXfGGWeUsbs0PI0DmRm3jEXBn6USvoEckqmhsWuYGhki2XXXXYuFSvC+9rWvrbRvo+eRnPQQOOlR+BrHdPCMyuLXM2l0o2lRsQ5us4VZI43cM+C/fCgH4UkrQkl44lUuIU/g5n78SKshCGn1rLBd2y/xoosuKveNGRM45SYeYbLu1YHyF5Z7ya98EVyQRv7qvAqTu3JXTrrbnpdO/zVy46c2laCEKDH15rnvf//7pestLgSkV0GJek1Qd4uF9f73v7/Ez2JjZapHz1K+zhSEMVPxpx4id9KnjBAcRcOvuPiDOq+pb+mQN3HKq7BG4Z6D35qEhcECFA934fInzeBaeLnHf8KXDu62b7PvaMCNP2miTDMePA5QT8hSrxEfmLzdfvvtJ+72D6vVDQeClsZKsHW5vSPLutQY6p3Jg4svvrh84xhpECzLgEzcgILjRqCFG7D+NMzDDjtscOqppxY31qL3v9N4EEcEFBB63Uj4E6asakAaV02QNYSTInGf/xrCq+F+7UcDF3eQNDqgTmcw6pY8A0udNSb9rpFtrBBlJT4Wt49a8WNFAEWV8EbLs0byqtxB3qRTmNKNoOp01el07ajzWvc0lImwxA91GoQNiRe48St8YSYsSLr4SXmnPNU1i9kEFlJVNhSE54WTsV//Y1W79gziF2aUv/sUii45wpcWaUoZOSgE8agjaZAWbQGkl6Xoc7XSxcIXPsUv/ybnbCbjOUfyx48yy/9xgDJTvj4XrBtOnvWepuKN3qAThFVCJ7jl3FXwSm8zvPzlL8cww85imHxjoROAcj/Yb7/9ih9HJyzDk08+eaU3HzphLWfPg3ud0BV3z3TCOtxll13K2w3iF0cOGI1vuUJ+lUvQWfSlfDpSHXaKa/ItkYb5B1kln53CLa+Zdhbt5Btj/quXyy+/fHjFFVcMr7322vKGymMe85hSP7vvvvtEKA3BAQccUMqmMw6Gl1122YRrP7Fy33cOoAUhGh4ManurxoTNO9/5zqIhc49mpkW6Bl5mtHUTvXFjGZCZTdo6VkesBVoWhMEq4G4GHWh1WptbnYZxQaw2Zcy6Ub5dYyxDIJZgpHvcsHZAVpU9a9/BkqwPvRxL2UxweiuHNZn6GDdZnQr4AxfovYBrbVnZseZ7jQnSnDNYe0F9DTQrxFIMWHw0McQq/OMf/1j+Q/zHWhoNl//XvOY15R1Sm2d4f7a2InMdC3M5o8638krZKTOHspoOM91rWD2Mypz/o/L7nOc8p1hPD33oQydcxhfpdQYHH3xw6WXe/e53H15zzTUTrv3EKluWsf7AmIPxH0cXVlmqQlMYE6zhmYx1ZYlPtAhLKVom41+sTeEEtJFxzk4IizbnL/fFm+tx0NzKMuXLikl9KLOUsTJxKFvnhvlDypbMKV9nR8qZDKoLsmoMFFii6sr46bgjvc6UHVlO+63HtfuIVSbLNEJId1AjTYa5Zc0YkiM0QFgiWIBgwbMhSQ3fMxAC9V83Pu8/69bo9hNIaXE/gjouSPnDaDkpfwcol3Erm7WNlK8jRoBzyrxu+Nz9t9he3WgrDStgRYFJNisAIC8r9BmrTJaEg2CE1KC2aiI0GjF3QhNiJDw1IQb8hPRCBNz8F4Ywbc6BcFmk9RhQDoigLncY3wEzv8oElJNZXeULyiRl1zB/mE0B1TLIUDC+bpUIIIeGFSCrCDKrPpRbeKKvWGWyBA0SOcaUBmeER0C41wKl0dbw7KiW9YwjfhM+CBMpaPiWbuiSB/yHIHJe7ohiSpfGWkZrW7/97W9PWppB3bjzXMPqg5ynTB3+R3bJP3nU6F1nEkg9OdrE2509Ie0ZYRqWixyPym7fsMrsEgKTOeSUhuiaoLAIQ4YRIP9jOaZbDtG8wH+IMmHmHpPd2jf/EQPC1K0Jxs16imJSrsrEx7Ke9axnlVdIjQFFQ6cxpzwb1hzKnKzXR+0GIU3u6oNl6drbVuOODLmRS0CQ2r7XSu1H0GesMlmq9ABJ1f9H4V4I0Jl/ZBpyc0271PBMGjkTneAx11mT7uXND88GKfhxAOHSKFOuysGYGJhQCJE6p35Sng1rD8o6ZFnLNKWOCAyZRO7HGWQTUlYsTMYQ2fUmWJ+xymS52EijZ7WOEsA4EEKtnEKIETzESfiyNhVaA11YUOope9AjSp1ZDzvuoOS13bqHCcbhbZLSZ/SSLKdq4KwjB63N4gwh1ATZ9zGP+UAaHoFTHjVZEkTjYrXVHTTSXBhkeRBZ9NIA+UQM6qTvs70LicgsGQ6W5QTPQqBu3HWBGqOrCbK+l67pOGDUqgRu9X8IoTayXDiQUcqcUkeUFLyzSbhxh2EJCt+hS44gXSujZTfBsxCYqmFr9A67y+jqIAbWVd0dHweyjHKoiVIZQK04IGXWsLCoGz3ZjHy2ulgxRhmQX22WLHPPMqK+oveWZd3gnc2YGd9Q0LWGGhdBTHnUCiWN0axiGqcjZTJqbTasXeiKmwU3caFOTO44H3nkkRM+xhusbPJJLrVl7deKgax+6SuWTCtKw7dJQT0mF8KMlbncgSRzQK0kvDkV9/hpRLmwyJI2JGAVh/Lnprs5DvI5GxCj9ks2lYmNrQNbEPYZS64l2c8RaO4In/Eh5jzSXO4IGQa1ValxhiBDlgFSjd+GtQfdyUxUWA5zxRVXlHXBcOmll5bzOCNLh1iX9qX1qRntlhFkk+o+o5dkWWtghes/E12h2kjVuKVZ31Fy7LsZP59AiBkc95aIawI4HUKiDWsX5DVj54jTpsTkl5v1weMOZZIJMJ950Y7JJrLsO3rXelhAddeSyc5qMlumsbMsdTfT8BV8/NeLgZczdOs0QOXi2o7fwLJsWFzUPRxnayt9Z4pVPw5L2+aClIP5BwqEgrFP7UzKvg/oHVnSMrXF6H9tuvvcasiRANJU/NQEu5whn7RyrG+E6bOyjic96UnFrWHxkC442XRthpdCp9w333zzcm/coScElLwhCjLsVdBY5H1FL/tlNfkhzlhRYOeWaCB++IW+a6X5grLQ8DL+KP+vetWrygfjfCysYXERRa+OIpvIUq+HYm9YYX2TXx8g9KE7SkX5pLz6it6RJTJQkCEDYLbTRgqZ6c6yinv8pVu+3BGL0lkjZHUblthmm22mfHOnYWFBRtULhDgNj3ibx2egG1ZMfGV7wcgsKzOy3Vf0jmEI2KiG0fX2CVjEkNfJWJUKOiTZd60035B32jhDFISvoR+gxFlLFDkCCCFYwdGw4lvxZJdSybCFrdr6bvD0MnWIL+RH8HxvOmRgYwJCqNtdj3Eg2RDHcobhCA0weaedCdy4KYs+g0JXT0iSrFLs6unAAw+c8DG+YFWSVe3VLunKxriu9+b7LsO9JEuklzFLXW7XyEF3ZrvttisaKFooM8NQk+dyRiyWXGuYtZXZsHjQA4JYlg5v8pDTvu+qsxAgp6BNx5o0RFEvTu8rekmWSC/jPYRu//33L0TgGmESvEzo0NgEclzAwmax0MK6dYRNA/WB+nFRFn2Gz56QVQosY3PIErJkZpxBXpUP+a17RH1/Lxx6R5YEqraQCB1z3TiHQxcHQUZD1RgHy0oZAGXilbqbb755cNBBBw322muv8s32hsUFGUyvBwH40B55XWeddcZmxcZsSK8xZ0iZ9Rm9S2FeXay1sDd2oqlvueWWcnY/FmYKelwsK/lPw7v11lsHX/rSl8q4rsXPDYuLyCDSJKOXX355WXDNvb00sPIQkjJaSr3C3pGl8QvI8iC4+OKLC2Ey2blbRuRMY7OwQpbjYFlCllEhTGQZt/Y6XT9AHtUPGfUGj16QMbksKRpnaMNpr661X8NKdXvvK3pHlrqZNA/SZDlCCpM7ghg13zPuUbsvV0QrR+CUC4EzNvbDH/6wuDX0BxS4g9y2McsVBBli1K4dlAnDp+/oHVlq+I5aA3kfnKZGhrSzzX8RaWYcQ5IKfrlDfjU8DVB+11tvvcE973nPomQMVTQsPtQRYjRc8sUvfrHUl7F2ct2wonxAGZFjBkCMgD6jd2SZpRcmL2gg4z0mMVhO1lg+5CEPKeRJEyEHhJru91Ia/1hdIEjKQQMEFrhXQCmPLNhvWDyoF3JIdg2N7LLLLpMzvVkrPM5AimmvyDKK3zky3Vf0jiwtvUAGsRwR5I477lhM9ZoMa22UcyzR5Q4NMasBkCVhk/elsPxiuYMyI49kWA9o7733Lv9tbIs8xx2s63TD9RYdysy575Z379iFYOmC12MbW2yxRSlM5BlhTHedUC6F8Y75Qj3upRyUC9DK46Is+owMCZFflv4RRxxRho522mmnyWVfDXeCon/0ox892HPPPXsvv71LXaxHXWzXFl5/7nOfKxYUohx3pAvjrBFGWbA0KZOGxQWZJbvpUlqhoI6sWmj1s+IlE0oekCO5NfRmKKnv6B1ZIsQIlTEeY5fXXXdd+Y8UYnWOK1gnykejVDYsS0MWiLNN8Cw+YllmfDLLuSwdiqIbZ2jfZFcP6ec//3mR25tuuqm97ri6QIYZhwOzigq5dTNXQIPM+I4NCDbbbLPBQx/60MF97nOf4taweIgiT/3kv/egM2QyztCGtWUy7IuOQNnH2uwzesc+NI2xSoKVAXFdcd0a92ayLKPVlzMoERa2vCoTRPmJT3xi8KEPfaj3H3waB4QkWf3AYuJGmbUJuDu/fqkXpJekna+//vpFmfR9mKJ3ZBntW3dZbDkPMxEljANZZkyXhpZfDdDGv9tuu20b0+0Jajk0HqeufFKikeXKyAQuJX+ve92r98NIvSNLDR5RZsEq2AmcoNklHWYizOUOApaZb9e6Lxpk21i2P4h8UmyUv/+sqFid44ysXGFheldeG1dGIc4+o5eDgMigFi6fE1WobT/AFYj1DRqktam6feniNCweYvlTYuRYvbA0W92sDKS58cYbl/JhIBli6zt6R5aEzXICwhYN7awwfQkOgUYgg3R7xmUCKOVixpWgGSi30Ui0dsPigQyST2eymvH2fPK1YQW0b91u5aP9MgD6PsnTO3aJQBE0QkbwQgJLYXnBQsDqAGB9f/nLXx48/OEPHxx66KFFmTQsPjR+Ci0HIM9cjzu0a+07G7/YHFkbT0+yr+jlmCVhQ5quCRmribXZvou9AlEeNLEd0r07bz/LcbGslwpGybLvZLBQUA6GJQyvadfmJKDv7873rnURLkRZm+T+GwA2YzbuUBZpdIYmECdh22GHHSYnwBr6g5osGwblqwfKgtxaMkSGTd5aNqSn1Gf0rgaZ6CzKDPr6b0t+mxKceeaZE77GFwSNIlEu2QSY5a18Ghr6jqydpvSNVyLNjTbaaEm8fdY7sowGNlaJMGlmWsfZ1mzjjnTnLK1SJsoI+j44Pq7I5OPopOS4AjlS9PZ68L687nhWCrRF6asIREDrEC5Wk/9esje2YWeShhVAkghT+Vh+YQPgvgvbuAFR1mTZFNqKoSOya+jIbmLwq1/9qrT5tih9FUG46kWqCjHEkO/NjDNqQlQuZsZ1Z6wUaI2xH2Dxhyhrssz1OIPRA6zJLbfcspTVvvvuW9p8syxXEYSqfnvHTuk/+9nPSiGnUOvBcoXtGBfIP1JUPvJN6JSNhemZJW9YXEQm1ZUDyKzu57gjCkOPyK5DysWnN7T7ZlmuIhQiqzJChhgUIq1jK6dxh/JxZObQGrVMhNVKpGHxQWZjLVFksarGGUiRrOoVff3rXy/tO6TZd/QyhbSPAWCwBZmNIlib5557bnEbZxA0AseyjNCxKpFn6+b1A6kHBKCuKP72SYkVoOi1Ze1br0gZ3e9+9yv3+r4BcO/IEgHowmSHFgV4yy23FIHbbrvtits4AzlGC7vea6+9Bq961asG++yzz1gNR/QZIUsyiyzTW2pYYW1THNp3ZFbPUTvP7mJ9Re/IcrTBW9WvIAmcba4aViDDFA9+8IMHz3/+8we77757+d+w+AhZGh7xoTIE0YZIVkA7hsxL6Ibboq11w1cDSICQpRtuU1BdTIXbtiFbYXkH6ZJbOqTc6nsNi4eQpfHkdC0bWa5AlLxVHJdeemmRXUaQdq68+oxe1qCB8LwCddVVVw2uvvrq4s6KGnfoege0dD1OWd9rWDxQYFDXD5JoS7tWvO4I1ll660yZZIOcvg9V9I4sI2jAmsyYD6Frr/StgHIB1kq6Nc2q7Ad0LUOQ3jij9LOMqNXRip6iNq33qD07OyBWZ1/RO7JEABEqgkbbhDAz6TPuUBZZhxqwKmsrs2FxoMFbJmSmV1fT5KR6YVG1dbAroGzIq16jyR2fRFkK6GU3HBnEwvSheiY7gbvjjjuK2zgjiiNa+Nvf/nb5WNmPfvSjNhveA0TRR8mDWd62+e8K6HabgyC/LG9DbRdffHGxLtNL6it6SZaI0UG4zIYTQIKX8Y5xRt3gCN4555wzeM973jM5rtuwuIjC0kMiuyYlfaJ40003bcqsQwjxhhtuKJa37/DkLbS+l0/vyNJ4nAJ10Dped8xYZevG3DmJQ9A0xuuuu6682aRRxpJpWDywmCh6ikz9+JgcWWZF9d1yWghE2XvZRBfcDPhvfvObJTGe2zuyrAd589pjhEyXfNwR7atcXCNNWAqaeVyAKFmWyMB1m9i5E8rDYckQZQKbbLJJKaNMXPYVvZzgCZAkgmSqI85GBnfuOqQhKquQZVuD2g+wKoGsUmBRYqx+JDHuILd6iuQVORq/fOxjH1vOfbe8ezlmyVSPBkIOCIGw0UbjjjRGqLWxrkxTJosPdZLekRcryDBFXxsB4w57GTCAvBPOujRmmeG3PqOXNZiuN2LwupiCdG2gfNxh3DaESYH4T1vHwmzoB5Dmb3/720KYIc++k8FCATn+4he/KIYQ2bX2kkLpO3pHlgowExUKEDGY1HCdVyDHGazuLOLVdTFAznrxfm3D4iMyy5KkyMhzk9uVoWyuuOKKUi56Q+R4KQxR9I4sR7sszHRaul7pP85gpWiMtLPXxJxDoM26XHyoD8qeFeklCkNHGT7KhMa4gwxTJBS98vr1r39d2njf0TuyJGjIIEeARGmghhVfyCNsyDFjlgSw7Zm4+FAvlD0FZod/Exl1T6Dhztd1s4zIeSnsa9A7skSQTPP6AJo6Yz/jDARJuAic8Z6HPexhg1122aWsW1sK2nkcQGbJajaEufvd7z5xpyHE6Bv3FItr1mVtGPUVvSPLUUIMAbRu5gqwHpURS/sBD3jA4JRTThl8+tOfHhx88MFLQjsvd+gZRWZtz+Y6vaRYUuMMZcDwMcZuob7y0q5bN3w1MKphMoOoC9O+G75iUS/BskoAWC2sStYMDd2wuNAFRwBI4ac//WmpE4qeW+sZ3fkW3k9+8pPydh6lv9FGGxUrvO/WZe/IMrNi0cbIUgHbjIDpPu7QGFmQ1qnpipttzcRBBLFhcaGOECPlbnKH7IZEG1ZMdN18881FoSgnPSQgy31Gb7vhBEvh0cwx0WNljjPypk7Gc41bZuKgzbb2A+SWzGaC509/+lNRbAizYUUvkQKhSFI+0Pfy6W3qECMyMEDO2nTdxnxW7PEJyiJjlNmOv822Lj70hlj4lP4973nP4hal1tZb3olY2spK+Sg3XfI+o5fd8HTFYzXRQA984AMnP5nZsGL5RcZ4dMmh792YcYCGjygRwa677lr+U2qIsm1efSeUD/nNkIVy6jt6R5YsSoeCRAi/+tWviql+++23l4+xN6z4jgmNjBxf85rXDD7ykY+sRJ4NiwckoC4c3lJRJ2Z7TWA0ZXYnDK8pD+W1FIgSekeWhEsXUwEyyzNeabf0tjRmBWhiCsWM+Nve9rbBUUcdNfja177WJnh6gFhKyDGv87nm1shyBbTvrBBw7Rz3PqOXY5a1hcSq1M20LX+bDV/R/bZtHc38zW9+s5Amt29961u9F7ZxgIaPMCn5hz/84UWWHcaVM1wy7lAeIUholuVqQsE5jFua3bX9PEFDBEhh3BFLm2a2jg/MLG611VbNcukByK46iuwCC5Nl2bACyiK9xPSSoM2GryKQJFIkdAoyy2HsgWfCZ9zhDR6Kw7CEdXyudb8f8YhHtHfDewByiwhY/7feemtxM0FpojLviI87UkYhSv/j3mf00rJUkLSMMcuY6wStWU4rxnWyWoAiQZC//OUvyxsRDYsPwyMZRnrMYx5TxivJM+vS9bgjZRNi9D/yXHfN+4jekSWSrAttjz32KISAKJebZZl33b1DHCDAKAXdudoa4U4ba5AEjMAJg8C1rzv2A+Q3RPD973+/nNUZyzKkMM5QNsrhe9/7XlH82rTycZ3ueF/Ry0GCmiyRB9JQmMsBBCVv4QTGHAEJalRRCoSnFqCM6VAe3HW/+bf4+cEPfvDkeGbD4iELq9WFd5/VN3kerctxhXZc945ClEthPqKXZIkUYq77uJGCjbZe6tBgshmshpV8WgYUkoyCUA7pwhEm1wFiveWWW4rfddZZZ/DIRz5ykkwbFhfk1WGNsHoLMTSskH9yjyTB2Du3/O8zetm6kELIMd8MXwqFORfEQkaGGlLGuOo8sxZjJfLvzQ8Cxj93/liVJr0glvhS0M7jAvXpm+EQhdiwohvuILPOJimda0Ogr+itZQk0MoFTsMhyOQgdLepDVkcfffTgVa961eDYY48dHHHEEYPnPve5g8c//vGDJz/5yYMPfOADg2uuuWbiib9EunNZt3fHHXcU0m0TCP2A+nFk7LnuQTSsUB6WAzqTWQbAUrC+e9tvU3gKEVkq1LprvpRBi5qUOfXUUwcnnXTS4MQTTxx87nOfG9x4441lqYmtq970pjcVAvV6J41rjFNXXKPzn/JAjhtvvPHgCU94wuApT3lKCbdh8ZGeQw1fLyTPjTDvXJCeiUu9I4aQ9t13wuwdWdYCpVAzGVJ3U5cyWBu6HsYZYYMNNii7nX/7298u1uQPf/jDwSGHHFI+4mSLLzDGmW6KMqFEdMN9nN6zSNd45+jEUcPiwZBIZNmu4G08eQW04fSMwOetDTMthfLpXQpDiAov2kbhLheylA9dD0Li2i7nlkdxk1dk+Na3vnVwySWXDB71qEcVi5Ibcow2RozRwsJwINBMHDUsHtLoTbyFLFmW3Jv1vwIpF3LLcEiZNctyNYAUCBZS0N3U/dxkk00m7i5tEAzCYrxRHnVB0nXLLDhsueWWxV+0Lnfl4RnWKQWScPI6aMPiIw2/fmNn7733bvVTwWa/XtUl0xtuuOFk2WjnfUYvyTKTObqVtiPTpfnNb36zLAQOsWVtpHx5++YHP/hBaViIESFytwqAogiQo4ZI+9LIwOo0/okwWaaZUGjoB/QIQH2FRBtWxlKytntZg4SrJkvXZnyXw/Ih3Wmkj/zBBrF2p0F2SNI9Gta7xdwCDU85KIOMTSJJbkFrkIuPEKS6yLV6jKJruHP5UH0sBfSuddXChjhYXKytvBq41IEIEZ6PNBljNAv+0Y9+tMyA77///oMDDjigbL0GLEWWKHgmZYMgXVuC9JWvfKW8KQKxOBsWD3XDT08o9bJUSGEhUBNlyqVW/H1E78iy1r7LUbh0rb0LjvxZiHbT/vKXv1zeI7Yn5bnnnluujV9SErV1GWuF1Wm85z3vec/gZS972eSazOUwTLFcoC4y/tzqZWrURLkU0DuyHO1K+s+69D70cujG6IbToF5vZC0++9nPLp+FOO+88wbf+MY3yvrLxz3ucWVcE1glGp2DYEX7Ots8w9rMLDFaDsMUSx2x/p1DBBlL7rvltBBIGSgbbXspEWbvyLJegwXpwlirFkFcymBlsBg1INeWTvgPW2+99eCZz3xm+eg8xYAgCVfd8FI+ysXhWfeNdzYsPqLsDbeYsFNvqcNR2R5nRJ4bWa4hCFaIMcsJLOIOcS5lIDXd6GzUa4dz19wdsZ7TyJxDprrmmSHX8LJRg4ke5eR+w+IiDZ+Vr56NS7teKoSwkFhqZdI7skSStDPS+N3vfjf5JcMf//jHEz6WNtK9zoy2z/uyIJGdI9aHMoiiAA3Os1EiuvFbbLFFGdO0iB3iP2NlNWJ55vnsZFQvNwph18h/QyG5TldKHYXckThLub6XdYZBxvGSvkxeeaYe1/M/4boWb/6DvEOeSXij4QTcHZBwnFMWkHKo4xkF/8Jxlqa67CD5jbuxaQqMMrS2EOrlYKNIPqShzof4RtNV52k6zHYfRsNOuNMdawoEKc4YCFHwwp4refKrrOr0CHNtTwL3jiyRhEKQ+ezaQsBsMJH/SxkqlICYwWZ5aFAs5qka31TIhE92axGWt4GUUcYsEW4EKo0uRJqGkZ2MQs7K2//4kxbPhwDE5R53h/DVVZ6n0MSf+LhLqzBCAu7La7qqSa+wcw3+J9zEm/+QNEozpMcxGo774pZn9yDhSGdd3rHe63hGId3CiSLLM8JyJL/cxUnRO6vb7BCVZ5Rf6tyz0pq4hV/nA1Jm/CXfyVMQ8nC/JsAg7nkehDtTnucbKSsHJM2122yQ79S58pYf+UhvbW2hl91whUGoCJJGCHe/+91LA1/qUKHWjJrBtvD8yiuvLO5145sJyoZV6h3yyy67rAiNGXHlxBLXGAhOBCqNjkAh1roRcXM/ViFowCAtnkfoNbiLS/gOIPCeR6yeqYXe/7jFkkzDT92GtJIO6RLmaMMO6SKlOo40OGlndSof98UzWgZ1/qJ4QF1k0xbxej5HnQbXOfiTdufEEetG2VBokLRKV11mKZtAeuUxfiDPxk1cye9UcI/fyEANbu4n/aOYym1tIOTsHBlQDpGLmZDyAPlT7qmvtZ3+3pGljAcKwH+C/YUvfGElwVrKMHudfCLONLC5VnaIVVda40KS4K2gCCJiFG4IiCDqxkc4a6EL+YlfGTt71jkElefyH0mk0UZoQz7+C5+f5M19Y6vgvmelib+khZv0p6HnOkga6+chBMgNQWWckF/l7OxwP6QGIWmgFFh/iZe/HHUaXOeQbuWlLkDZhCDzdhWoA2nMu/vSJC3iEo74kr5RGR+Nn1+HZwPPQcrFOff9z30Qnuehdoc6zLUF8YuXfDonLVDnczp4voY0KzPuNXesDcyeugVGXXghgzQ6ArXUoYHd6173Grz4xS8ue1raYi3dB41qNhCwCHws7TPOOGNw2223let0mxGXcJFchFDcylP3kD+C5r+GTOD44+bs2fwPqVgEn8ZMMN1zzltWaXzSJo1IxBF3DSRIXSYukOb4BWFLX00u/oN0xG/Iylla40fY0uKc69wDz8t7yiBuiTPwX93U/kB8wgX+U/aQ8oPRyUl5T54gZQ7uOdSVuGqZl7f4C4RT+xFWkPx5rs5P4nM/aYD62bUF6WDFMxJSDsqtzsNsUDaeIU/ylmfrMl4b+KuusO4srZ4gAvz5z39+8KxnPau4XXXVVWUzjYxXLXWk8dXdb5U+2hhG4RlCYeH6PvvsUxSKrfmPPPLIsq2b9Zq2fTNsscMOO5QlV0jIp3K5jeKcc84pAicM/kLEhFg80oRwH/KQhxT//EqvOpJ24mPyTTwsR0qNIOtys6S4TwXhy2saqLSzymKdBvIrDSmjxDt6jbDFF38gbRqWs3hClvEjDdxG4RlpS12IXxjxqwyEJ27h+R+rUb0qL4rFZijGpn/xi18M1ltvvZLGfG9J3OJJea8uhCNtwlkdeB6SBmHNhDUlVHm+9tprBzvuuGMpu/PPP3+w++67lzpZXbIjB9KlDNY0fTOhl2QJKtF4nj0bCatXAC2zWeoYbaCIRSVz1zjT+KdDyNKwxIEHHjj52Q3bgGmM7mmsSDRkxpI1Y37wwQcXYVWe4vP5XCSasUTQmI3dpRFJk3Wfn/zkJwcPfehDy7PcYvWfffbZg3e/+93FP2tqu+22KxsYX3fddSWsXXbZpZC0D6o94xnPKGEmjJCFccZ3vOMdpcFIby38iMihi2w7u0MOOaSE4X6IG2yiLBykj7Aybun/5ptvXtIVooKEm6EBafKMPHheOhB3nc7ZGiJLxzP8UfSHHXZYmcC7/PLLB9tvv33xU9e/fApXHKAu9Raki3vIQ/34bxiFMlKvuSed0i7OhOP5KIWagKSP39rd/6TJ87PRwWxlMBvE993vfrfIBbn09pp2XZfLbEiapXeuz8wHekeW0cxgbG+zzTYrBYMYTj/99OK+1CE/GiChDfml8ucijAjqhBNOKBsGa5zp/rFuNPi4aWDiAa9GvvSlLy3XQOBYPLbIAmlIWpzBOF7I2Pvr6kA667G3k08+efCSl7yk/BdviAbkD/kgXwvupVt84ibkicebSEjbs4gAiUB9jUQ23XTT8gnVyIh7/FiWs9tuu5VJr0BZigekAVEi3E9/+tPF2k0egKXzsY99bPDFL36x5B8hyZv8KENwrTze9773FfLljsRCtnaO+vCHP1wsSorLq6s33XRTucfqf9KTnlTK27fEpUU80i+dwlLO7ht/5i6+1Cc3/ykLFirSlKfIinwqc2FRGNKFMKUXIYFwpM2zyrLOv3oI8axtshSXiUkf2FOOX//618tYu/KuCX86eGONkvexPmX4wAc+sHCEvAojynNtoHdkKTkKTSO/6KKLBvvtt19x/9SnPlWuCclyh4aj8qG2Kggai46AsFhYbE984hOLtWUMSIPgzr8GpNFpABqYbjSySfkCwUNUlJKwNUjWh4bkOSQkfvHoNm2zzTZFGGttjhBe//rXl/rRCAmwOCxnkocf/ehHJT/eTHrve99butppEPLiGVbo0572tNKdl7aIJH8hPM9Zk4oQpTWk7my89tWvfvXgzDPPXIlgk06NCJSLHgorTzy5z//OO+9chjbq+IOUF8jr6173ukkllPxSXAg/ZTgK5YbAPP+GN7zhLwgf1l9//VIn0plGL4+JS3oRPoWhTrnzK3/u6dLqQXhZQd3ZPNqGLcqQAjjttNPKp0he+MIXljFzQKAhVApW+tXlWWedVaxxsmb/ArtkiYsf+dh2223LN6SS/jwrTSzHCy64oLjJh3w99alPLUqCPB1//PElncL72te+VspeXadMyLFw5VXZClMdyJ+VHxmfBz2K+9///sUYUC+69FCTr2tHynl10dtuONhRxwSISrj44otLYx0XEEgNgEABYUcuhOKd73xnEXqNzkfOKBDCTENrXDNpV4JYWyXiIYzKOIIVEgENjd/4HyUquP3220uj0ygIPEi3cPgjYghXuurwkQolABqYLnOIgV/CLc/Cln/P2Ug3jSpkAeTDsM31119fnhGvfLL8EC1r0kQL5RJrUGNO3l772teWbx4hK/HKN8Ix5uhaQ3f83d/9XbEOayAASgERGluXL+mTDs+KT+OXJrtLHXXUUSXd/IAykRfWJ+sWkq+UR+AZZaXrWhOta/sKIMIoGeWZxfDqRj2Jy/UHP/jBwV577VXuASUrf/ZXRZDKmzxRdMp9VAGI33i3sKS1Jjo7/ytLFjE3aUkdsAj5ZwEbmmEQZSd5R20o5NpGwSZDPWtog+I3Li8v8ohEffCPu/0VyE7klezlek3RO7JUsIRKgX784x8vVpOGRruly7icIf+EBtKYCdyll15ayFG3hdBpmMomjaV+rgZ3DU6ZEq4QxUwgEvwLL41WY9QgWILS5D63WPpTCSUiFkasLw031gK/IUD5QzjS5p5wxRtSBfF5hntIglsIW1z+s4rdD5F6RpgppzqdaeCg8Uqr/IiXPwSCqJUhomWBJVxn5Sn+lLv8UFq600jgXe96V5FdFp1GzZ21J5ykHQlJD2XFss4SueRLHA7gTzg+UMe/PMtX8mO4g1UoPcpaOeg5IElWeSbBdOef//znlzHoIOUPJlWNOzNOWPIUhvwbakCgyAghIn7pUF7yruysH+buI3zCEy5Ip/SA9Pn/9Kc/ffD3f//3xU3a5U2dJG/ikX4EKW49EJayeBCps7pA8L5Dpa4MC6lT7hBZmRd0QtE7dIJUzp2wIfLhuuuuO+wKs7iNCzrBHnYCM+wa6rAjxmHXIIadAAy33nrr4Wc/+9kJX8NhJzTDjlTLdcoNusa80v9RuFffd9013Il/K9A10nLU6IR54mo47ARx4mpFOlJH0hxIR9IXdBZXOQvbfeBHfgPX06U/z4gn+YjbdJC3rkGX65y51WmtwV0apEue6/DrdAYJJ/c6C3PYNfZh1/CHXbe4uAX8plyFnfTAbPmY6r44O7Iv1+4Lu05j4pLfjsyHnfVX/kMdd12fHQGVs/A6K7HUb0eEw+9973vDn/3sZ5NhpG7rurzhhhuGHbENO/IadiQ37Mh6+PCHP3zYWZDDjsiGXfd+2BlCk/ISeUiaI2Md0Q47xVBkf8899yxuo/lPmqWjI/VyXctNnac1RS/JMjjmmGMKWa633nozCvZyQk1YhObNb37zsNPQw04bD3fcccdh182cuDs1PENA0kBAuREgwpiGWt+voRHUwsaf54RZC+p0z4MGWBOk8Op8iUNY09XnqLv4hZmGLe66EdRh5Z5nposjjTP5RDSeSyN1PdooIW51XoQvvs4KnUyfvHcW4rCz5oY777xzcavTVRMUCFfc7vE3E4TNH9RlwH2qNItL/qQzz43WL6ScEFzyh6wC+ZsKdVkk3KSr64aX83e+853hfe5zn9KW73//+w87C7u4d9ZvOUu3eEfx1a9+tTzTWbPlWho8U5dfSL3Ok7zU5Thbmc4VvSNLFRqhOvDAA0th3eMe9ygVPpUwLFcQCJVMSDbeeONh1yVaSXjdrxsLAZmufITj3uj9NCANzRGymA5pbBABlAbkU6clEH4aIf95vhZejS0NPUQ/F9SNNOHVDQaEKTzuSQfU5Qj1PWmYquHVfgJpqMsEKAL+L7jggmHX/Rt2XdThtddeW3oKo/DsaH6nimcU0udZx1R1CtOlGViJKT9+ZotTHOoI+FVGtXUqrpRZiDC4/PLLh1tuuWVpx5Q9qzR59kxkD6RJXOIg3yeeeGJ5rut6r1Rn8Z8yAG6ekzdwXZdN/K0JZp6nXwQYazBeY5yhq5TJcQmox7CWM7pKLhMfxnZM5Ngc+Iwzzijjhe6B+8qpq8Py37hVXT78dUJZxsbAPYf/nSAVN88oZ2M8DmNEIEzPOhI+8OtZ7hmnkwZ1VI+xBeLqhL6kJeNUndBP3F0B41PcpU38CQfE4/muEU2OSSY9wnOdtIK4XSd/whQe+cm4nnvG7TwnTGfhS6O4pCXyBtxT5sBPkLQnLGOcqTczttIiLmPtJiqSj6Rb2hyuyTr/rqUxR/y6TtkKh9+UW0dckzPIwF+eC4SftBtLlHbgnrLxvDKWRi8JBMImH87CVk/qPEjawcw0iNtSPxOQPp1igb5lW8YclafJL+Us3KQzaZIe5Wi8VDz5RpVxZXlIucg7N5NuDrPhJr+kURjyEaTs1ghdpL1CV+jl3BXIcK+99hp2BDG8y13uMmluL3d0glTOyiFlAV3FT1yt6DYqnxr1/U4w/sLigDq8GnVYLIb6v+uuMZRnR+OEOkzPwmjaQXrqMLpGOWmNcJdm4G+qeIJYDnmW/64BlevR54SZcIO6nGaC8Eeflc487zp5iqUTePatb33rsGvow80337yMzeW51EvOMBrPTBBfIAzWWKAc6rDq6zwnHY7cU2ZJv+u6DIWdsg1yXx5HreXUie5yR5TDddZZBwuWMjDuCWQJpD11GeReZHCPPfYoz++///6TslWnD4Srm94pjuL3+OOPnyxr7SSoy2l10UvLEmgGWpkGsqSh1vZLGbRwja7yyywedAJUtCWwTtwLaouLlRJrIGBlBJ5NODXqMGrUYdHk9X/XsfhG44Q6zFgb3EbjipWXMNRn6pS7NAN/U8UTZMY2z/Kf5Uejzwkz4QZ1Oc0E4Y8+K5153nXyxDqq4VkztKwgFpU0c+sIarJecobReGaC+AJhxBqDWLVBfZ3npN+Re8os6Xddl6GwU7aBPAB/tXXZEVRJT0e8gxe96EVlRl3btb7WDL0lRuQ7vRd+U5eBe9rHqAySd2npCL+4d7w1acladmSNrbZiKZL1o/Lmf5YgQV1Oq4u519ICQYHmHLJg/teFt5RBMNMdA2dLSSzr+OpXv1rWlBEYwhRCCCKoDf3HuuuuWxq9Q31rwDVBLlWEZDsrspCbJT/k1bVlbRbmI0cvJXijyRBSXlOulf90CHEL0zIrbcCCfy9OIHntxfKsKC1DU+naK3PpwxVrgy96R5a1xgOVQFvNh2boA2hE2lq+um5IyZe3YLwDb8G0NW1RGNGiuY57Q/+hXik36yyXExAeGUVqFp1bN+vagnhv6Xi7iDV93HHHlRdKyLlnyH0IbiYoM8aRMFmlSJcBgSyNCWsH1hm7DqxPZXDogeKPEGaNtKM1QW/JUuHSLjKpsOdS0EsBdTdKhZrwOPbYY8uie+/LEo50b+Sd8Dg7CF5D/8H6Ua/kVwOOovd/qYOlRwGQR3kDQw7esLEQ3j2vJFpITo7TdZ5r+62HFixSt/hdXBaliy/hMDhY7CBOQ1lIfJQo03Yca4rekWW6msZ7CJzCVugyOxczvu9IRZrFM2bjbQxvOyBKs4dmE+PHmXDq8jga+o/Rhmncva7P5QJ5SXv0NpD2ancqb9DsueeexR2QG7/a8Vyg7DJc4RmvhiJNM91eawxB4oSMp+p5iifkHaQu6vpYE/SOLOtxnVSGfSyRxnISNtbHox/96DIeA15lJADJI0GJle3cuuBLAxqmLqSxtCBEsRx6Bogp4+3aKqK0hwPZPeCAA8qGKMYOGT0IFFjUcyVLMDwFytCkjS79gx70oBK+zTtYmYYAAIG+/e1vL+GzLNcqusrtJSx0ztKBl7zkJROuSx+doJW87b777iVvnXYcfutb3/qL5S8dOa60TKITuImrhj5DvYE3r9SvhdXqvGvMxX05QH7gFa94Rclj120evvvd7y5uU72Js6rIa5D1ch/Lm4444oiylFCbsaxw1113LfF31nu5vuWWWyZ8r2hHHWFPHnVbWl30zrLs0lTOrKlYmV78h1iaSxk0oK63rakMSttIwJZhuhTuJY/yXv9fLmO24wBWlS3zQP2pu+Ugu6AbLD/Pe97zyu5XJnhsGGKckgVpow1tONYn5P9cekdm13W7xRNL3BIk1rouvs1Izj333GJlfuhDHyo9M7Pw3MyKB+LMobc2L73SLrBeIVqLJbXDDjuUhb3HHntscVsqYCXSZgGrwn9Wx3ve856iDS3YPfPMMyffj639NyxdxBo68sgjy6YRXRdysm7rRdJ9RRZ/g0XmZDZtElh98kaGWXmnnXbaX8j7ckXvLMusLaSJMj5Sj2MuBbASM86Y1/tiKRtvsUDX7uJeBbPPH1gu0QlcuW5YujCTa2bWOB5r0lieujdBVy+S7iukF6RXW5T29GpYjqxInxiBF7zgBWW5W+Q9ky/LFb0jy5jLiKYj8/LfjOJSg7QTNjPeWS5E2N74xjeW/Q1t0kowQ5C6HEtNKTT8JQydqFdvlrhWp2RhKSlC74WTWd3fTLYgfm/K2OFcV3n//fcvb+rUb+Fkyc9yRe/IUqUQLlBhDmMYSwmsYTOBGafKf+MuxlV8ddFMH4VAIwNiTb4bli7UOeWeXf31IihJdY88lwIs+ra0jYzKizzZqML3h/y3aa+1wZn1tr6Sn3kZF+wxekeWNLGCRyQOAraUNJb0shIJVYhQNyZWo4YTEq2XQ8nrche2cQBSNHzE+gLEE/mtX0joK6QdWIxIkIz60N3b3va28sKEXpHv3thlnXIn14wZMr3ch5F6R5YB8lBxziosBNN3IEZdF9tR+V6ObfaRoEbEwnQ2xhPIF3d5bFj6QBjI0Rg0pemzCHFfCsowvRuKnnXpOz3I0QfS3vKWt5TvBFn8zV+93V6GHJYzekmWKoqgRSM7LxWtZWDcZ1Wf/exnD4455piyOUa0tTy5prE1JkheCVrcGpYuUtfIhCL0TjOkl9F3UOQWfHuF0WJv3/U2lGDxt+U65NtBwWuX8uh/JoGWM3pXg9HABsmt4VIhurSEL1qvz/C5V5sKECablprxlofMFLrWbZEnMIiuaw5xa1i6UIc2dkCS5DXfvV8qQyzSajMMa4HtGORLj7re3qQxjIAUEaQekmtyzl3PqM2GLzBYWLreKoOA0dTIJJXUJxAOEzfgW81exWJN+iyq/fwsOPe+rHSzHqeCQXR5bVgeUNd2t6foEY8XDyK3fSET3WfWICC7QM/m/e9/f+lq29jlkEMOKRalbddq1LJM+Qf18NJyRC/7BoTMGxD2rYOMhfRBOxN86UPghIMF7BvJvjut22ItnZlCnwP1+VFjObpg8sCKbFjeUNeGWYz3kQUTPCHLvpBJlrPZ5ixj5T6XS35tnmv/yVNOOaX8R/wsZDJfE+tYoiuI3sEbAb4I1wlXeVPgy1/+cm/fEOi6XMMnP/nJJZ0+9fnhD394eNttt03cXfFmTtdYytFZzBOuDcsVHaGUs3eXycQll1xS/kPeeV5MdMq7nPNJBzLp0ww+3SC9PtHwsY99rNwLyC501mg5jyt6Z1l2aSpWGK1Xd1t0zfuCaFhd8DPPPHNwzjnnlO6WHaKf+9znlplDfqSZpaHLo4sTC7lhecNqCMMyxi9ZlrHK+rBemEXpDSPWJYv35ptvLt3us88+u6T3C1/4QllH6R7rWM9Ij067HPcVG70kSxWqksA1YePeF2TW2niNReZ2iLaswpZrIVLjOhkXMt4qHw3LH+qaEiW/yMdBSfZFUZJPih3Meh9xxBFleRMi9xmIbbfdtsg1f87yA5mEHGf0jixpMdYYzQaxzPpklZmUAWmzdf5HP/rRwaGHHlrcagu41sTIM3lqWN5Qz+SVko9iJQtZqL6YyOSMVxotb7NjzzrrrFN29LFyozYE6omckOY4o5dkiRxjWSIfB2Hrg3UpXbESpYtGzvuxui0mfFgWumLxJ91RAg3LH9/4xjcGN9xwQyEh3XBWGeI0Q77YkI6LLrqorJm8+OKLi+zaHMN/susIyHfIE/mPu7LvZetFlunO1l1w14sNGhbxSYuzg1Ahx+wgRLCyw4x8uA+tKzMe0PW2HAy5UJyuyUQWrC8mzjjjjMHBBx9cCH233XYrb5oZRgIyDGl7DJTaosyw0riid2RJuCyxqMdLQjbz0RVHvDMdEA0arQrf+ta3yqcfWAwgLVkKRKg0kKBeN6krEwuzradc/iAz6hmxUKT11x3rbu3aQgitXqaWzy3YCMO3bPz35USTOr6XE3knw9I8Xfd7IdLfZ/SOLNMNMKaiy6uba3Y5wre2YVwp3WXCw4K84IILyjuyJ5xwwuDKK6+c/P5HLEnIsEHDeIPMUPRAZvUmnCnihRiGSe+lJjlt6JJLLilbrHmNcd999x284hWvmJTfkOV8GCPLGb3shkO0mDEfW9Uv1ILumgAJ+HnnnTf5yiJBRNyxIgkZPyzfNh7ZECAd8pBjIWHy0bIl7Ud3mvK3POj1r399GQbYddddC2n6tjcwBsh2H4a4+o7etfBoOUJGOyIj438L1QUQr6EAgvXKV76ybHJKM//xj38cXHrppYNHPepRk29i8CO9o2M7DeMNvQy9ICSkp2QYZiF6RYF9JkGbYVF6XfGyyy4rFqXv1uy8887lvu442QVkmbbXMDV6R5YqzburXhkjdLfddls5Z5Z5bSPdJZudmiUkcITorLPOGmy33XYTvlaMo2oE6bpoDMt9I4GGuYM8IKLIB7laCGSSRtf/m9/85uCggw4qi9ApeBtjbL755uW+dlaPp0rrQlvBSw29Kx3CZTmDcwjyJz/5Sbm3EBMkhNrY5Lvf/e7y3xDA5z73uWJhEkDEjSiljzWZrjhkrKphvEE2yARCIisLabVlDfCFF144eOQjH1nSseGGG5aF5zbvBXIcEpcuMt2Icnb0toRuvfXWQka64OnCpILXJryyyKIE2tb17rvvXjYaYElKE/ekSVc8S0IWsqvV0F8gRyRFXiOzUahrG0jv8ssvLzubgzF4rzD6JlAmf8ix9GSsPUq/YWb0jixVoNlmW0PpitOOvlkDWf+1NsGKND5JuAjZfvvtNzmxE4GXjggX6zdjmBpJw3iDrER56glRoAuh5IOPf/zjgwMPPHBw1VVXlUXx9lZlcJDnLGkC1mSNeplcw9ToHVnScip0xx13LP99VN2Yi8qd6yQPYZ2KWJGdbj0BdojHGck5Gyv1aU8zhz73aQ0azRti5AekY6puy0I2ioZ+AiFl7Jq8hZT0RkYJanUQWUTKo9bqT3/60/L1RVsGbrDBBuWzJo973OMKaSZNWfNLhqUpyFtoDdOjd2SJsMzm7bPPPuU/Ky/d37lalsYOQ6wElGCFEC37Yb1CLIAMitPABsR94hNRAgIMMTbt2zAb0r2liJFR3cV1vaaIIYCUM+HpNduTTjqp9MIQ5jOe8YzB6aefXs5B62qvOXpHljQcYfA6FviKnA8kzdWyzLgMEA5ES7Bi9SHjWIg566JwD4lmrSWBp5E9D1kw39AwHZBlLLZYcZDu75qCDEbJU/zI0adMLDL3IsdrXvOawXHHHTd42MMeVvwwNpKmqXpDDXNHL0uv7iIgqrmQZBDtjfgISQgR2bIuzRYiUYPgdoI2pgPc+SWIESr+aoIc7fY0NIyC7OihkMOQJbf5lJ20DbLKonzjG99Y2omhI6Rpd3MgvxR/2gALtGH10Uuy1L3IdlZIT6XPVTNHMD0TaxJRCsc9gqOLcvTRR5cZQ9/LAe7818t/kHTCYGG2CZyGuYDFl9ce01uprcw1gaEgYVtOZ7joE5/4ROmNIU3dbkpfnNoLeY/8kt02Lrlm6CVZ2iXdAalsFT9XEJZYmBEaM9YI0Xoz38jxRoPutw0FdMFBFz6zmQg75OhMm8+XwDcsb1CsZC0fLQP/KfA1BaIEm7qcccYZxVr0XW87CQVkVXyRZW1AO1qVNtTwl+hd6REu3yn2ipYK954rIaOl5zqbWFuhrtNt8XlS3W7jOGYIWZc+8Rkh1pVxiEv3O0QtHfMxON+w/KFX460zFqAdyWsFOx9kRZ69smhrNV1sG/iGKEOMQOYjy9JAxtsE5Zqhd2SJoLymde655xbBs74RWSHRkNeqIDPo1mzqfvvUpzEl3xlhYUI9oUOo0nUCbhHy2r2hYSqw5ih4cmdPAbJDbmJhril0u1/4wheW7rY3cuxwHoLUPhziSpzODumIVdqweugdWap4H3bPO6y6yBECApj1YlMBuRJWXW6C4lkCa8eid7zjHZNvNRx55JFlLSUIMyRIAxOqWKJQWwa1e0PDVDDObQiJgndks4rZekUZZ4d6hy3yDOTed+hf9rKXFb/WA3txQw8oE6CZnNRWxJlzk9v5Qe/IEjkZiHZm8dWD5Egwb8sQGMQaazAWoa4HoUGCwmFRsiCRJb+WVrAqY00SLkctrA0NqwuypGdEfin8bFZBjjM2PhVCrmSQ1ej1WiDPgCgpeGOUviBqeZDv0pPpELEeU8PaQ+/IEhCc9WPpPtCMhCJAbO7RnLEGHa5pYoIZUv385z9fPlULtlfzEfl6Lz8C6tmcGxrWFCYOEZjXZclpSLKejSbDOYKQJRk2/GRFCKX/5je/uYyvI9BNNtlkcPjhh5dxfdAGjKeLpw6rYf7RO3ZQ4dlpyIA0AYKayJAcIandIig0cbouQOC8Lknr6sJY4A7IlyCmi9IErWE+kB3+AfHV3eAMIZG10SPwLBkmt7rY1k56hZFMb7/99uWTy1tssUXxy6hIG9AmaoOiYf7RO7JEjrZFyzhMyBIIBBC+CAlBQ3q1oEQ4Yaeddhq84AUvKETpu96BcFmggTAaGtYUejc//OEPy7X3siEy7F5Qy3UNPSIka9mRyZxXvepVRdb1ikxQGquM3BpK4le70F7aio21i96RJdIiHOlGE6p6rVgNQjIqKLR3rcm9LmkG3Ga+hDVanJ8IbNPIDfMFXXD7RwJZdkRua/kje+TcmRs51pUGcnvKKacMXv7yl5de0YMe9KCyG5aJT2HFcvWs6xgReb5h7aCXZKl7kU0CfIOHEITYaoFINyfQbY9mNk6EQCNceSOoFqxcE9o6nIaG1QXZtaRHF5o8RpG7NsuNGCPLkGuySGnb1OX4448fHHXUUYU0995778nve6f3E8IFchtDgVHRsPbQO7IkFASI4BAC2tTsYLrliDAgNBGc3/zmN4Pvfe975ZO1iFA46ap7NjOFNSnmWYRaC2BDw+pC9/maa64pyt6idDDeaI1jvc9ADbKX7jSSNC7pGdeWB+l2u5c24MwA0EbIszOZ104a1h56R5ZAoyI6BJeZxWhVBBrCdEasBMmGp5YEvfSlL53cMEA4AaGq32DwvybOejypoWF1wbrLcqHIH9lK74hcRzHnPmV9/fXXl3e7bd670UYbDc4888zyaZM8G8UfaAeRWedalhvWDnpHlgjQmA8taXEvLU0YaFNCAwQHgZo1tDnws571rMF3v/vdssO673vnTYVo4jyX/w0NawtkdvS78uQvih2y6NyQEfn1ITGvLVrmttlmmw3e9KY3DQ444IDyjFdzEaNnW+9ncdFLy1KXmtZFkj4poUtiLIj2ZEUiSgLkXe+nPe1p5eNMuj0EjpARQl2TaF7+If8bGtYWrI/UG4Ka3GIZkmVDRBlD91rv8573vLL7lT0ovWX21Kc+tdwjw7r16T2FbBsWB70jSwKBFGlVwsJKNGaT8R5Chyh//OMfDw477LDBlVdeWSZzbJBB0PKapOeDppEbFgrkDrFBLEg9mij63PMarm62N8rAt7zPPvvsweMf//jyn0yT9RBkFH7D4qGXliWrElFCujIhPOORtPBznvOc0vV+wAMeUIjyKU95StlJKMhyDcKLXKGRZsPaBlLLWCRChMiyexkK8vrtK1/5yjLGaQ2l1xkzIaTbzvrUE0pYDIaE07A46KVlSSPTqgQmAkeATPJYb+ZjZhb+WlZkIBxx1oTIbwa8kWW6340sG9Y2kBrZJXN5WyyvO7pHLvNuN9m0s/nHPvax0n1HhizPmhQRbP43slxc9NKyNObDoiRkJnhAN5ygfe1rXyuz2sZyzBx6Q4eA0di0NAEMKTqHNF1n3KihYW2BnBmXRGxZ95gxTJM1PmXizRx+XvKSl5T3vm2IgUgZCnpEjnTXtYN04WMQNCwOesceyO4HP/hBmVFkVd7//vcvbzEQLkK07777ls0EaGNEmWcAYUbYCG1IE7L0qKFhbYKcITiTjHmxAqwBtgGG1xeRqNcWvYYbBc4vUjTMhBTJcMY8kSiyjOJvWBysFlnSmiEiYypTDT6n6xHkc7OzgfAgRgRoBtwEj2VE0aqETBe8fs8bajKMcEUQhTWVVuYnRBvUXR33/HeWX/ms43Fd591/YdYkHXBzr4b/tdvoffGOpq8Om//6fu4lrtFnIWFOlcbR+GvU/l0rF3nPshhuOc90eM4z4hq9l/RGVoSf8p1Nfjwr3FwnrLki8Y+maapjFLUbhS3N2kU+jQJmvR1g9tuYpfWUgZ6T+DNGD/Ui82ZVLj5WiyyNx0QwaVDkpKKRHEEhPNwBaWoY+T8bIui6JSxL155FfMLhTnDEg5w0PukhpCFH/mrS4+6ohVq4o+AmLGdhe8b/PCveDNCD61rb88siUB6Qxu7ZdLGAZRFL2SE+/lzzm3wl3crafRAOP/JYh+d+6iHxxS+3HAnT89LgSFkJL2XnEG+IrYZw5VV5yL/wuOU80+E5z4hr9J7nISTBrwNq4kiepMvhv2dTF64d3OUjSs31aHk4uCX+0TRNdYyidrvhhhtKTwj5hQzf9773lZUaho5e97rXlXXBvsCY/AbS0dBfrDJZhiTzlgwQaBVvkbgGxE8ENw2DH0I7GzReBIsACOFNN900KUQaBuEWF6JypDEJ25iQ58SJVIF/Y5zSFKFOA5OuWmBdpwG6V8cbuBaWcIGfmtw0yvhXFg7gLm0gbdnUFTwXf8KV/pQfuM598cmH9EGezX3/c/DnqN0CYUqDI2UIqStH0pGykIfku4Z73FN2q3IoyxCauheOdHJL+lO2iTt5cgbuqStlLFxwXz7IifJxnWfrskg4c4G01GXgWh7EKQ0marbaaqvSrbYn61lnnTU44YQTShz7779/2U81w0dQpz112tBP/FVXUautziI4hBEh5c0ZwuNQ+YSoJoa54Mtf/nJZmIs0aeBdd9118MhHPrKsobzoootKV8UrZWYbnTM+ZKGvwfOHPOQhg1122aUMnGuAtvbX0DV8jVKaXCMtaYcIu0a06aabljPyZSUI3+FZ+eXXc2brPaPLJa9Z7hGkaNMgHHfccUdZ7gQatnKK1SQP9fvD7ns2bvIijFoRQBo+/xolYuDGbwhOermJL+mS5jzLzb2k33/1CyGZIH6dhbGQjVxZS7M41eFsRCfv0pr6He3hcKsxl/BSZlPhkksuKUNE2oLXdX2Ph//nP//5xcKs5WO0/hr6jVUmy5ogv/3tb5e3aAjAz3/+80IW7meAm5bdbrvtyn1kSsDT0KeDsSmz3N7x9lyE05nAO/xPsvkRrgaBGMw88oPYQhRp0BoCd3CtsclHnncPsWfzDnn75S9/WfwhIGQkX/IoH+ISTgbi5V8Y6667bpmEcgZh2MzY2aucysRO18hRWBqVMyL19pK4kl5h2t8zs6LSyZ1/+VMW/Muz9PE3Wib8I1yHuCmVKBD58Yx7wkfIDj0H+VI+8pGddDyjLqUdkILDsyCumZD0OKQ91zXIgDKRDlAncasRsoGacLinnqMkgpRZyhfIkmccym4mCFd5188qe/+FecYZZwyOOeaYUo9AmXsLzW790gJJ92iaoXZr6BdWy7IkxCrXxhVeNQQCpNFpiBopaORvfOMbyyuJ7nlmLsLgU59mCmsQRkn1fARrFIQxjSRIfHlGY+BW+5N290NEkMaElGokHRDiR1LgmdxLODXcSzryrHRw41+6kDRi4LeOC6TdkYXKkPKon/VcyDKQR8RobSoiNHnmPjfPISRhhPjlCSEqU/VovE3c0sM9Fp5nHcKHqfJdwzh08iqNzvUzwmLNUybOYLG2d6idoyzFx6/eBSL3QgLFQuGEzKUXWXkO0fqfD4h53iEsUIYpx9mgTBzKAvmGLIV77bXXDp785CcXuaEY7UtJQfGrvFOGkHyP/m/oJ1bLsgQCYifoSy+9tAirsRkWiOB8sMn3R3SJWZc23rVswr3ZBAJ56P6ed955RTtrJAjgvve9b2nQGqk0EGrhmXHU1SGIGoRGg4jcQwoO14Rb40iXGamz9AivNLqPQIwzxaIRR6y5NE5haYzS6b781KQ0E/hHFrHelGGNxAXSpfFKq7j5DSlLq/vCmC5ucXm+Rh0+SHsOfuUNQvp53v+Z8imuuWI0TdNB/iJr9fVU+YKUiXQqpzqt5CHEqI7lR1k4knb5dYzWySgoDXLoAHIgLvEKj1Fw1VVXFZmyIYbJHOlNPK75TXyuV6X8GhYPq0yWhINgwn777VfGEAkiAlHxgYb8zGc+s5Aof8iPIBLomRDByls8Ga8DY5jp6icc5Oe7JxoE0g6EQ4jTIPyXRv64eQYxyotvmggXKV933XXFTRwalvA1DETsLD3SwW9IO+TiUD5pAA7Xo+UiDcpC2K6FzRJiFVEOD37wg8uzGp00sI6k116dG2ywweARj3hEaZTf//73yzMIGPn7Ly3KRh5BGUhnGqaDH+Fzl173PKMegR/pEbd74mKBpgyVjyN54Hc6Ip0JdbmIJ5AOFludh7hB8uAA6Zgq/uRTumcjwaBO01RIOmuyjJu4uCuTF73oRYP3vOc9pb4jw0hcfQd5LnFGXhv6idWe4CEEdvn5zGc+U2b43vnOd04SGGtOAzvkkEMGp512WunG3XrrrUVga/Jbm5AtBwHOf41GA6pJjoC6dkgfN0TNigSNAbinka5NSI94pCeNKGl3ni1+DVWD449/4XkWhInkMhbJHQmx4NM99ozn1VfenkLeXg4QFtIWNgvLWOUtt9wy+OpXv1r2YyQTiB0hKD9n4UmTOEOszsqVvMQP5UNu9CCkI/nlx38KSo/DvgBkS12ZKJMO8fInbTfeeGNxM0ZM7rzcgMD4STdeV1yY0p9hB3mWP1Am8khO4gYJx33pyz1xK9vICtggw9s5wF15y0/qtGHpYZXJkrAQGo+xHO3BZ0MAbyYQnmhGQmu7tKuvvrqMk7GAFgLSEPKbChoA60hjTlo1XgLvABZAiCRuwWzFFcIJcp2z+3WDGW08GnP85J5nc0yXr8DzyT///uc5hzARUyZLlJdDnSobZZJ41TW4B8LR8OM/5YcAhY34lJvrUUiHeylPYSUeiJWLwII6LNfqzTgmP/wiQxYvi1Ndsa4NybiWRwTFTX3yZ+Iuk2jSE9JzzzVL2jPy7XnkLG/ySZkoM+7SRGYMAbkvL9IQv/L12Mc+drDPPvtM1oHwG5Y2VpksI5iE1UD217/+9bLQ1gwgoSRsGpOJHdvjgzcW3vve967UBVkIaAjSkobp0Fi5uTcqwLXFCWmsntcQPCt/awINB5KeXAepjtoN5lpNUz1Xu4k/Vqc3oVhg6vRJT3pSsfq5Kwd+Ug6eccj/aPiQcqrBLXmdqkxrjKYRuHme3/iPG0KKtRZ3z7vnOiQeWVXfDvlKjwHq8AABIs5AWiMTo0oT3BdGnbfIW9LGDYRRp7lh6eEvTYBZEIIhRLpGBIwVabLEWdfbR5ZOOumk4s8C3JNPPnlSaNY20kCBgEovAXUm8LpdGof/LIh0wwjyFVdcUYhfXoDQ58ySEo7rmQ75TCOaCiEhadPAR0liKjeYzn06JC1JV5CG/ZWvfKUMnaivE088sZQHf+KQNo0+cJ301u7CT3krP/IQ8K+8HYkTRssl5RWMpln4uS/+EFtNOrkvHvfJJrdYxtz4R5T15E/KU9q5qWPywI/45cFzIUp+hO2e8F1zS1qdI28g7cJwgHsNSxerTJYEkIDoCmUdoRlxW+O/613vKksn7AxEqwcmLSKgaxviqQkTCDF3aUpjA10qY3MWEvuu+G677VbGYEOWGkNQPzcT6oajQeXwP/emw2z354qp4qrdTLr5ZtHWW29d6guJUG4hj5BL4Dr5r8tBvkL8/GTyTfnX8bvmpg5CnNw8DyETSDq5iYt//kbrNAgh1fc9o67rnowuPHDjP+kTR+LhnrFWcSYvrh3KB3E68yvPjpSbMLQPz2QoJxBW/DUsUXRCs8roNPGwI5rhwx/+8GEnAMOnPvWpw04wyr3vf//7w9NOO214wgknDO9+97sPO2EabrTRRsOuUZb7C4VOYIedgE6mq8bvfve7YUeKw6c85SklfYqhE/ThPe5xj+GznvWsYWchTfhcGfK8OpAG6enIYsJldnimPoJR99EjqK8h5XHBBRcMN9xww+Fmm202/MEPfjB873vfO1x//fWHV199dfHXNfZyBtej/2skT+JyPXp/NA01PDdaHnVYNbinLut4/E8c7gO/6vf8888fHn744cPjjjtu+M///M/lXg1unRVZnu+ItVyPpmcqiJv8i280nTOh64FNXDUsVawyWRKsTksXIeu628O73OUuw2c+85nF3VHjcY973PCv//qvCxmde+65f3F/oUCw//CHPww7C3d4+umnD/fcc8+SJkdnVQw7i2jYWQzlf2chTzbApLduiK5nOjSg0SONOg0zfkMOo+DmOfcdCSP3Zjqmg3gRRGf9l3wedthhxb2zrIdnn312uR5t0EjBUYOfUbcaKSPx5Xn/67S5rvMUcIPkO4j/oLPayrl2q2XLffUsn5ThhRdeWMKQlt///vcTvlYmf2GljPibKm3yMRVyz+FZ7cPh2r3RsBqWJlZr6ZBHOgEor3FZ22fhrSVCUA+SW19pttxSDxM+voO8tqG7JX7dJDD7qZtth/XLL7988g0jXSbdItegO+UZO6/vvvvuZfzNGBM/lp9Yw+m6a1DF/3TgxyH8HLp5wnZ0Dajcz3/3nbkFKd9UTfw7z1Zd9X3PgLDE6/Cuvf+2C+t6Bn+xEqBr3OW+NCdNwlROSW8NfpVJurMdYUzpD/itw6nzU+dfGPyqk6nQkVwZXxSvcBxx0/3VjZav7bffviw1Mmu+5ZZblhltdWvfAUuc+BWv56aD9ElLyl/6uU2Xx1FIY8Yq6+uGpYfVXjrkNS7b4xMgW+PbATr3QkYmD4wBcvdapOUUCwGNTeM3U4+gNRgNCFkQ/BrSya97isKYVSZ9NCiNzsE9pDAbNAhjusbwHGaZNXxxeYde+Wi4NvrwxpFr6bLOUPgaMQWDpE06ue8Tv/x71v28gWTc2JKWKCL5EFdIQ7ipF3F7Z537zTffXEjE/eQJUdYEkDBAmRjjtXRHuUh3TWbKjiwkrkBdCBO5QPyNXoO8ScsoqcxEMhHf0XDkxRtmJrLUAeUnL/xbN0p+vYygjJUD1Ip+JiTdwhR2/odU63KT9qw7Th6kjf+UCT/Jx3QKomHxscpkmcbolUbvfBMEu6x86lOfKoJGCCwO9n63CR+CgDQ/+tGPlnVsGv7ahsaikX7xi18ss9v2GAwQI6GVTkJNcIMQJevLYmvCb4GzPLBYPTPX4kocsZJCysikRsgp6eBHI1LO+S9OeeK3Ti8oc2V6xhlnFKsp4K8mPrA5iZ1v7MhkZ6csFUq+cnakIQvHxibHH398qWtQTsqltuDF5SAb8ptwQBgO7vIj3m233bY8+53vfKeUFQITP0JOWrjzi2is1bWoHLF5TlzO/Ao34asrC9utkSR3JhsDcasPz1FmrM2jjz66fDAMUdYfvJsJ4hFGyjikKW5pttaTvJ9//vnFv7SIj3HhUxI21bD1oJ4Xwk5+G/qN1eqGa7i6tcgSCJmuroq3AYZPPhAc8BkIXfFRi2NtgcWlMWsYoDGKn2XLwqyhYfOHmDQiAiv9LBJrEH09UgN1z+EtltkW1yMUDSMWtoYkfI0oFh0CsG6Tu7SCuBGQxm0rutxHEnY/sqIANNIQkvNDH/rQEgYiNCwCyl6+YiV5Y4U1qFvq8wavfe1rixLhJw1f/lJmIO2xOC39OvbYYws5hOyl13OB64QjTOBHGjwnLxE14QoflBV/seYB8fDvSBqFkbBG4fnAfeE7RwZjWQYIjh/hg/r20TuymjxPh6Q7+YVYku5pB2RIfT3oQQ8qlrz4wH+vQSJx7YfiOuKII0qZeV6dk42GfmKVyTIVStC+8Y1vlAZAK+smEgoWpq3bbrvttrLZKe3tm8gLDYIrbRobq9Dia91QS5xcS18NadcYWcz2w6yhMSAmjSONZTqkfNLoNATPIE+NOl0yZwTBKuTHwWpSdtmlhh8ka/0qwsz+nLaGkyfhKltx1URXA9GEvCgz78N/6UtfKsukPCMeeY8yQzJp3CEBCki5CAe58SNu/0fFx7N6Fp7hD0kpa25khrt1uML1Jo0y1bVXNsZQEYj335WHZ8XH2jTkwK+yRYLCcvacupF2ZSVPnqVkvD0mHvIJrsGz0u4ZzwrfDkEXX3zx5F6js0EYnpVH6ZKOyy67rFiOFJJXHb3yKC3KSNryDMK0VOvlL3956X0pS3XI73T12NADdBW5WugEsMwcOrqGNuF6J7quRzl3QllmBYHftY2uqz9xtTKkA6T7E5/4xLAj92FHTsNOiLX2crg2c9qRWJnZHM1XwpgJXeOZuLoT0z1Xh2/2FLqGU86j6Iir3OsIpPx3bYa/hnQ7go6kJsPtGvKwI55hR0TDjqTK8x3ZTKbNNairXNd1B/HvWeUzXVrdcwSekdecpWmqcqrz5LqWIfUqfuVgCVdHsMOOQIddl7fMcAvTfcuGHPxtvPHGpV47Ap+s49RzR5TDjuTK/673MHzLW95S4porpM+hPpTRlVdeOXzsYx9bwnvZy142WTY5px6A364XMOys9ZLmlHdDv7HKZElwgTDW0AgIRmcN/cU9cG8hyLIGAUWO0hZiSiMloAjkqKOOGq633nqTjejVr351uQ8aHcjzqqSdf/E4XOe/MkBm/iujupzqBiMu9zxTk07SDvX1bA0OAXXdvWHXXS9rYoM6bEiYnfVXzuA6DX4ujRpxSP8oydb/a+SeeooiCFLmysv9XI8e08H6XvVKSTg71llnnXK27M2aU8qx6yGVNNTLiqZDHZ9rcqXcjj/++BLu1ltvXZQUdD2ZcoaQZcqBwrYWFDyvvkfro6FfWG3LMkgFjzYGWj+44447ynkmwZ4vSI+0TCV8afTc64Z/ww03DF/60peWxdnWhtZCHmi4c00/fxrAXP3zq9GFEGpIc9IdIJWaaCFEByyv5A85v/3tbx9uvvnmpTEfffTRk3WlATvyP+mtrSBpElZdXjWkLeU9mqZA2vhT7iEkcdXxpK7EJ5zR+JI2/uq8gnvcpYOydl88O++8c7Eqd9111+F+++1XFqk/+9nPLi9OKJfp0jsT5GOqsqCMlO8xxxxT0lAjFjIkz+JOnoMo9IZ+YrXIMpU6lbVFcOtGH+H49a9/Xc4LDWlMemvhTOMK+NG1Y4VxT4OU/pDVqHDPBmXhWUfdwIWTxl/HBWmI0lOTSZ3W2n9tDSW+IGTwwx/+sFhQ2223Xen63X777SU8+aXI6jA8k7TVZDIVkc8G+Zwqb/VQgfKOez3EUD9X56mGdPLncJ10wzve8Y5CXne7290m3x6bKi2eiRxPN4QzipRF0uk48MADi+V+8sknF/c6LanHqeRQ3Im/Tl9D/7Bas+EN/cVs1WmiyHvhlhmZ4TZhkgkdz9Yzy0sRyYNJLBN58ml1QUdUZbJoTdERWykz4Zkg6kixTPAcdthhg1NPPbVs+GtlQkfGZVKnI8BSvlk2l/9B/HUEOzkR2NBPNLJcZpitOjVuC7WtUvDpAw3UTOxoI16q6Ky2MqMsn53FXJZ+QUhtPqCsAmVmpn/HHXcsC9y9zWaNccq1RtxCkIHnfUto1H9DvzA/0tOwZKBxW7qDKCHk2nW5y3mp489/XrF2EjGGKJFU3NcUykvYypF1CSxWL2YgZGtzkXSIT7z/fWINKZLNcjB+kaa0WebEv6VUDf1FI8sxBOsLNOTltq4PcckfIkJOyAi5ZY3lmkLYGarIemMvBVi4zzr0KY7PfvazpdsN1lVGITlbY+uNMl8W+Jd/WfF5DZDeub5B1LA4aGQ5hmARabgacjAf43l9Qbq7rD/ndL9Zc2sKVuE//dM/lQOUoXFMY415o83CdF929LYWeIPIK4/8eKPMZi2GQhAlwoWE19BftDHLZYbZqpNVlMkJ+G8T7zVDJi+WMuQfWcZiZgmyMJGcvM/HBBaL0NteGR9FeuLwKqw3qnTDbW7CnyGP17/+9eWjbr6E6k0kn4Z+whOeUBSU4Q/+vJUljOUwbrxc0chymWG26tQwWUMZU/OqH4L0vybR5QKEljHG+QByS5e+VjSZtPG9/De84Q2lq63LzZrddNNNy2eMEbUu+jbbbDNYf/31J8k2MLaZvQIa+odGlssMs1VnLCvEiDT916Dny+pabIS0WGnyFTLyn+UcclsTIDnEZuMTGF1OxLIMEdpiz14D3FigNjupyzkEGWu1ob9oZNnQ0NAwB7QJnoaGhoZZMRj8/8XW7ZUqz+bQAAAAAElFTkSuQmCC)
physics-General
physics-
As shown in the figure a particle starts its motion from 0 to
. And then it moves from. A to B.
is an are find the Path length
![](data:image/png;base64,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)
As shown in the figure a particle starts its motion from 0 to
. And then it moves from. A to B.
is an are find the Path length
![](data:image/png;base64,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)
physics-General
physics-
A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and displacement.
![](data:image/png;base64,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)
A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and displacement.
![](data:image/png;base64,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)
physics-General
physics-
A particle moves from A to B and then it moves from B to C as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,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)
A particle moves from A to B and then it moves from B to C as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,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)
physics-General
physics-
As shown in the figure a particle moves from. 0 to A, and then
to B. Find pathlength and displacement.
![](data:image/png;base64,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)
As shown in the figure a particle moves from. 0 to A, and then
to B. Find pathlength and displacement.
![](data:image/png;base64,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)
physics-General